3↑↑↑3. The use of ^ instead is a limitation of ASCII. Knuth called it the "triple-arrow" operator. I don't see any conjugations necessary, so "three triple-arrow three". "Three pentated by three" also works.
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If it's worth saying, but not worth its own post (even in Discussion), then it goes here.
If continuing the discussion becomes impractical, that means you win at open threads; a celebratory top-level post on the topic is traditional.