N600 wifi router modem router

OK. As long as you have the C3700 set up to broadcast its SSID, it is really down to the ring to make the connection.

If the ring supports WPS, then it may be a "press two buttons" thing.

There is a manual for the C3700 somewhere at the end of this link:

>>>> C3700 | Product | Support | NETGEAR <<<<

See page 53.

But that is just a guess. You will have to explain what you are doing. Or talk to the people who support the door bell. Perhaps there is a user group for that. Is this the device?

Ring's General FAQ - Frequently Asked Questions – Ring Help