3304 has 16 divisors (see below), whose sum is σ = 7200. Its totient is φ = 1392.

The previous prime is 3301. The next prime is 3307. The reversal of 3304 is 4033.

3304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3301) and next prime (3307).

It is a cake number, because a cake can be divided into 3304 parts by 27 planar cuts.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (3301) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27 + ... + 85.

It is an arithmetic number, because the mean of its divisors is an integer number (450).

2³³⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3600).

3304 is an abundant number, since it is smaller than the sum of its proper divisors (3896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3304 is a wasteful number, since it uses less digits than its factorization.

3304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 3304 is about 57.4804314528. The cubic root of 3304 is about 14.8940684767.

Adding to 3304 its reverse (4033), we get a palindrome (7337).

Subtracting 3304 from its reverse (4033), we obtain a 6-th power (729 = 3⁶).

The spelling of 3304 in words is "three thousand, three hundred four", and thus it is an iban number.