HRESULT 0x800736B3
The sort of error you're getting is generally caused by underlying problems on the PC that can also prevent Windows Updates from installing. So my main strategy with them is to try to fix the Windows Update issues. If we can get updates working again, that generally fixes the iTunes install issues en passant.
Head into your Windows Update and open your Update History. Are a lot of recent failed updates showing up in the list? If so, doubleclick on the failures and check for the alphanumeric error code in the small box that comes up.
Are the alphanumeric error codes showing up in there predominantly
8007000b ? (That seems to be the case with a number of 0x800736B3 iTunes install errors.) Or are you getting different codes? If it's different codes, can you let us know what codes you're getting, please?