Fighting this PROBLEM !!

[DieselMinded]

I havent had a DB error in 6 mths probably , I sent a mass email out at About 2:40AM and i got 15 Database errors

Database error in vBulletin :

mysql_connect() [<a href='function.mysql-connect'>function.mysql-connect</a>]: Too many connections
/home/dieselminded/dieselbombers.com/html/includes/class_core.php on line 311

MySQL Error :
Error Number :
Request Date : Thursday, June 26th 2008 @ 02:41:15 AM
Error Date : Thursday, June 26th 2008 @ 02:41:15 AM
Script : http://www.dieselbombers.com/
Referrer : http://www.dieselbombers.com/
IP Address : *********************
Username :
Classname : vB_Database
MySQL Version :

What do i do about it