I recently bought a Dell D630 with the same Dell Wireless 360 module and had an identical problem.
It seems that when bluetooth has been disabled by the proprietary Windows driver, Linux is bluetoothless (sorry
).
I found an old thread (I think on the Ubuntu forum) posted when the laptop was almost new. I discounted it at the time of reading as I thought that Linux support would have moved on considerably. The gist was that the bluetooth needed to be enabled in XP. After 2 days of floundering with other plausible explanations for the issue I tried this "magic"...
Boot into Windows and install the driver
http://www.dell.com/support/home/us/...&categoryId=NI
(I realise this might be an issue - I had to sign up for a Windows 10 evaluation, install Windows and then the driver. Using XP may be preferable. I got some errors due to it being an XP driver but nonetheless bluetooth was immediately enabled and the bluetooth indicator shone).
Bluetooth from that point should work and can be enabled/disabled in Linux
I'm fairly confident once enabled Windows is no longer required.