To anyone else suffering from 37kb/sec download speeds, I've found a fix:
(1) pause the download,
(2) set the "Latest Update; KB/s to 100 kb/s in Battle.net launcher download settings
(3) start the download,
(4) wait like 20-30 sec.
(5)Then go back to Battle.net launcher download settings, and write "0" instead of 100 kb/s.
(6) Wait a bit, within usually a minute it'll start going up to 20Mbps or so
(7) After 5-6 gigs it might slow back fown to Kb/s speeds, in which case just repeat these steps.