Wow, I'm not sure the total, lets count:

3 dogs
7 cats
1 bunny
7 birds
3 mice
4 fish (3 together and a betta seperate)
6 snakes
1 iguana
1 sulcata tortoise
2 chinchillas on the way, within the next few
weeks

Looks to be 33, plus the chinchillas soon, equals 35.