Over 82,000,000 Active COM Domains.

You can find statistics for other TLD's here:

http://www.domaintools.com/internet-statistics/

Interestingly, there are only about 100,000 different words in a big English dictionary.

According to this article on DomainNameWire, in the next few months, there will be over 100,000,000 COM and NET (total) domains registered.

The number of domains is going up by about 3Million per month, especially with the improving economy.