A store is preparing the holiday cake for its coming sales event. The store owner estimates that 30 percent of the customers would buy the holiday cake and estimates that 3000 people will visit his store on the day of the sales event. If one customer is allowed to buy only one cake, how many cakes must the store owner prepare in order to have at most a 5 percent chance of running short of the cakes? Assume customers make independent purchase decisions. Report only numerical value.

Hint: round up to the nearest integer.