This may sound like an issue that was already discussed on the forum (with no outcome), but I would like to report it since not everything is the same.
We run 4 node cluster (Rabbit 3.6.2, Erlang 18.1). Management interface stopped responding today (cannot get to the login page; even if login page comes up, login hangs -- have to kill Chrome tab; API calls time out). There was nothing particular in the logs. Rabbit itself seems to have been working fine. We restarted one of the nodes, and management interface came to life on this and remaining nodes.
However, some queues show unsynchronized (even though there are no messages), running (even though there are no consumers and no bindings besides default), and cannot be deleted or synchronized (trying to do that simply times out). Attached is a snapshot of one of such queues.
Please see sasl log attached from the master node.