"long hitter" is relative, I guess.
I don't have any idea what length of par 3s, 4s, or 5s that I birdie most frequently. I have never tracked it.
I prefer par 3s to be from 115 to about 175, and I like there to be some variety in their lengths. Par 4s over 400 yards are rarely birdies for me. I like 320-390. For par 5s, the longest that I could potentially reach in two would be about 470-480, and it would require two great shots. But it's easier to birdie par 5s than any other type of hole; I generally have shorter approach shots to most par 5s around here.
Again, all guesses, though, since I have no data.