I too have a streaming stick but no remote and I'm trying to get a replacement remote. How can I tell what stick I have?
I'm very confident that your S/N corresponds to a 3600. 3600X vs 3600R makes absolutely no difference. In the past Roku has used the first 2 digits to indicate the model and I'd be willing to bet they still do. The log I was looking at was from 3+ years ago. I can't be 100% sure, but 99.99%. :-)
Tivoburkee is the remote expert around here and he could tell you what remotes are compatible with the 3600.
Being black in color makes it good thing, if it were purple then you have trouble. The RC-AL7R sold at Walmart, Best Buy and on-line on amazon $19.88 is the remote to get:
It now comes with mute key where the oem tivo remote rc-al2 didn't.
Thanks for the inquiry.
If you need a replacement remote for this device, you can purchase a Voice Remote on our Products page here: Streaming Stick Accessories