Experience with many schemas vs many databases

Hello everyone,

I have hit a wall on completing a solution I am working on. Originally, the
app used a db per user (on MyIsam)....the solution did not fair so well in
reliability and performance. I have been increasingly interested in Postgres
lately.

Currently, I have about 30-35k users/databases. The general table layout is
the same....only the data is different. I don't need to share data across
databases. Very similar to a multi-tenant design.

Here are a few questions I have:

1. Could postgres support this many DBs? Are there any weird things that
happen when the postgres is used this way?
2. Is the schema method better? Performance, maintainability, backups,
vacuum? Weird issues?

Any incite is greatly appreciated.

Thanks.
Frank