I call (800-297-8378 if you want to try it for yourself). I get a recording welcoming me American Express and notifying me that the call could be recorded… then abruptly says: “The computer system needed to answer your questions is not available.” And it hangs up.
Chris says the phone number has been non-working for 5 days now and sure enough when The Consumerist called it a sing-songy computer voice cheerfully proclaimed the computer unavailable and unceremoniously hung up.