Thanks. It's a DIR 632. hardware A1, firmware 1.01NA.
I'm in Canada. I'm accessing the router through the internet, I'm some 4km away from it; that's the scary thing, I don't mind if a port is opened towards the LAN, but this is opened wide to the world.
I run, on my console, "tftp my-router-ip GET /etc/passwd" and I was able to retrieve the file. I was also able to upload a file.