How do you pronounce 3^(n)3, that is, 3 (n up-arrows) 3? "n-tate" works for simple numbers, but "3 (3 pentate 3)-ate 3" isn't exactly... comprehensible.

"3 hyper-n 3". Note that the 'n' used in both the greek-number-prefix "n-tate" and hyper forms is actually "number of up arrows + 2".

For particularly large numbers Conways chained arrows may be preferable, I'm not sure if there is a convention for pronouncing them.