Add the process
C:\Program Files\360\Total Securit\LiveUpdate360.exe to
Web Exclusions in Malwarebytes Anti-Malware.
As in this screenshot:
Do not worry about potential security risks, it is certainly impossible that this specific antivirus would perform any malicious actions.
Consider also adding the processes of Malwarebytes Anti-Malware to 360 Total Security's exclusions to avoid any other conflicts, as it was suggested by other people in this thread.
With the correct configuration (exclusions for each other, mostly), you should be able to run both these applications at the same time.