Wow! I didn’t think so many people would guess!
The winner is Arkham, who guessed 4324. The actual number of visitors was 4205.
(I’d have thought a few more of you would have gone with 4200 in honor of Douglas Adams!)
I also decided since so many of you played the game, I’d pick a second winner–this winner was chosen by Random.org, who picked a random integer between 1 and 36. Congratulations, vegeta, for being 32nd to comment!