3332004 has 72 divisors (see below), whose sum is σ = 8854272. Its totient is φ = 973440.

The previous prime is 3331997. The next prime is 3332039. The reversal of 3332004 is 4002333.

It is a super-2 number, since 2×3332004² = 22204501312032, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62842 + ... + 62894.

It is an arithmetic number, because the mean of its divisors is an integer number (122976).

Almost surely, 2^3332004 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 3332004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4427136).

3332004 is an abundant number, since it is smaller than the sum of its proper divisors (5522268).

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

3332004 is a wasteful number, since it uses less digits than its factorization.

3332004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 3332004 is about 1825.3777691207. The cubic root of 3332004 is about 149.3602979759.

Adding to 3332004 its reverse (4002333), we get a palindrome (7334337).

The spelling of 3332004 in words is "three million, three hundred thirty-two thousand, four".