My first tought is checking that the hardrive where you have the blockchain has free space.
I'd lean toward that, thinking also PC may have bad RAM or HDD. QT uses HDD and RAM quite a bit compared to normal productivity/browsing apps. Either could cause that kind of behavior. QT sync'ing might also cause heat production in HDD it might not have been able to handle, especially if there's a lot of dust in the case. Possibly also problem with OS which could cause these kinds of "random" crashes.
If you're really concerned about a cyber attack and downloaded the QT client directly from the Bitcoin Foundation's SourceForge page, the malicious individual probably has access to your network, not just your Bitcoin wallet, so requesting an IP address change from ISP followed by a clean install of your OS and fresh download of QT from Bitcoin's SourceForge page would be advisable.
- Or it could be the cosmic rays!!
(Error message text would help.)