From quick run of phploc as of current stable version (4.0) there are 2662 functions in WordPress core.
Structure
Namespaces 0
Interfaces 1
Traits 0
Classes 241
Abstract Classes 4 (1.66%)
Concrete Classes 237 (98.34%)
Methods 2842
Scope
Non-Static Methods 2552 (89.80%)
Static Methods 290 (10.20%)
Visibility
Public Methods 2571 (90.46%)
Non-Public Methods 271 (9.54%)
Functions 2662
Named Functions 2662 (100.00%)
Anonymous Functions 0 (0.00%)
Constants 557
Global Constants 541 (97.13%)
Class Constants 16 (2.87%)