Dash has 3586 active masternodes alone, and that's before individual non-masternode nodes are counted. As far as I know this is the highest number of live nodes for any altcoin.
I've just checked
https://bitinfocharts.com/ which backs this up. Dash is number one, slightly ahead of second placed Litecoin with the number of nodes but Dash is way ahead if you look at actual active nodes. After Litecoin comes Doge. Then follow 3 closely together: Peercoin, Namecoin and, surprisingly to me - Reddcoin whatever that is.