בראשית ו,ט: אֵּלֶה תוֹלְׁדֹת נֹחַ נֹחַ אִישׁ צַדִיק תָּמִים הָּיָּה בְׁדֹרֹתָּיו אֶת־הָּאֱלֹקִ ים הִתְׁהַלֶךְ־נֹחַ :
The Gematriyah of היה, the Baal haTurim points out, is twenty. This is because Noach was considered 'Tamim' compared to the twenty generations between Adam and Avroham; but once Avroham appeared on scene, Noach was no longer considered 'Tamim'.
Three Times Noach
בראשית ו,ט: אֵּלֶה תוֹלְׁדֹת נֹחַ נֹחַ אִישׁ צַדִיק תָּמִ ים הָּיָּה בְׁדֹרֹתָּ יו אֶת־הָּאֱלֹקִ ים הִתְׁהַלֶךְ־נֹחַ :
The word "Noach" appears three times in this Pasuk, says the Baal haTurim, because Noach saw three worlds: he saw the world before it was destroyed, he saw it in a state of destruction and he saw it after it had had been rebuilt.
Alternatively, Noach was one of the three people, each of whom was responsible for the salvation of three people: Noach saved his three sons, Shem, Cham and Yafes; Daniel saved Chananyah, Mishael and Azaryah (when he interpreted the dream); and Iyov saved his three friends, Elifaz haTeimani, Bildad haShuchi and Tzofer haNaamasi.
And a 3rd explanation (based on a play on the word "Noach" which means pleasant, or well-liked) is that he was: 'Noach' to HaShem and 'Noach’ to his contemporaries; 'Noach' to the celestial-beings and 'Noach' to those who live on earth; 'Noach' in this world and 'Noach' in the 'World to Come'.
Not Just Noach
בראשית ז,כג: וַיִשָּאֶר אַךְ־נֹחַ וַאֲשֶׁר אִתוֹ בַתֵּבָּה :
What we have here is a double exclusion, says the Ba'al haTurim, and a double exclusion always comes to include something. This is Chazal's source in saying that Og Melech ha'Bashan survived the flood too (and they even discuss as to how he managed to do so, seeing as he was not allowed to enter No'ach's boat). Indeed, the Ba'al ha'Turim adds, the Gematriyah of "ach Noach" (79) is equivalent to that of 'Og' עוג (79).
Ararat
בראשית ח,ד: ַתָּנַח הַתֵבָּה בַחֹדֶשׁ הַשְּבִיעִי, בְּשִׁבְּעָּה-עָּשָּר יוֹם לַחֹדֶשׁ, עַל, הָּרֵי אֲרָּרָּט :
The Baal HaTurim notes that the word Ararat (with a Kamatz under the second 'Resh') appears on two other occasions in Tenach (once in Melachim and once in Yeshayahu) both describing how the sons of Sancheriv after murdering their father, escaped to the land of Ararat. The same Pasuk already described how they killed him as he was bowing down in the House of Nisroch his god.
Now the word 'Nisroch', the Baal haTurim explains, means a plank (like the word 'Neser'). Because Sancheriv took a plank from Noach's Ark, which he discovered on Mount Ararat, and he had declared 'This is the god who saved Noach from the Flood!' and promptly began to worship it. He had then said to the plank, “If I go to war and prevail, then I will offer my two sons (as sacrifices) before you (the plank).” The sons overheard him and then killed him.