I've encountered a problem applying SUPEE-3762 to a Magento 184.108.40.206 site.
It was one of a set of 9 patches that needed to be installed. All the others installed without a problem. But this one returned the following error message:
Checking if patch can be applied/reverted successfully...
-e ERROR: Patch can't be applied/reverted successfully.
patching file lib/Zend/Soap/Server.php
Hunk #2 FAILED at 735.
1 out of 2 hunks FAILED -- saving rejects to file lib/Zend/Soap/Server.php.rej
patching file lib/Zend/Xml/Exception.php
patching file lib/Zend/Xml/Security.php
I also tried installing the patch on a brand new clean download of magento 220.127.116.11 which failed in exactly the same way - which was very unexpected. It almost looks like there might be a problem with the patch itself - unlikely as that may seem.
See: other page
PATCH_SUPEE-3762_EE_18.104.22.168_v1-2015-02-12-04-25-20.sh must be applied on EE 22.214.171.124 and CE 126.96.36.199 (and probably ..0.0 as well). All other versions do not need the patch.