with all external functions marked with CURL_EXTERN it is easy to count them

and... yes, they are 46!

RELEASE-NOTES

@@ -4,7 +4,7 @@ Curl and libcurl 7.12.3
  Releases counted from the very beginning: 111
  Available command line options:           100
  Available curl_easy_setopt() options:     121
- Number of public functions in libcurl:    36
+ Number of public functions in libcurl:    46
  Amount of public web site mirrors:        13
  Number of known libcurl bindings:         27