If the device does NOT power up after this charge time of AT LEAST 30 minutes, I would disconnect the device from power, try to power it up again by pushing and HOLDING the power button (while NOT connected to power), and see if it comes on that way.
If not, reconnect to power and leave it on the charger for another 30-60 minutes, then try again.
If you find that the screen does NOT come on AT ALL, the battery may be bad (fully discharged), and would need to be replaced.
Luckily, replacement battery kits (battery & tools) can be found online and SOMETIMES at a local battery store, where you can replace the battery for a reasonable cost. I have a link to a search I did on Amazon for the battery kit below.
Nuvi 3590 Battery Replacement Kit (search Results)
I also have a link to a video that shows how to get the case open and replace the battery.
3590 Battery Replacement Video
NOTE: I also checked on the cost of repair - via Garmin's repair center, and the current quote is about $130.
Hopefully these alternate solutions are not needed, and a longer charge time will get you going.
Please let me know what happens - when you can.
Thanks, ***** *****