If you have more than 24 hours, try the "sand surfing". You will need long pants, shorts don't work too well AND then you can go snow skiing. An in-door single run was just finished about a year ago.
Go to the Souks (markets). There are spice, perfume and gold souks all within walking distance from one another.
Great Duty-free shopping at the airport. If you win one of the cars (each ticket is about $100) they will deliver it anywhere in the world at no additional charge.
Lots to see and many fine places to eat and drink. Dubai is "wet".