3304008 has 48 divisors (see below), whose sum is σ = 9051900. Its totient is φ = 1088640.

The previous prime is 3304003. The next prime is 3304033. The reversal of 3304008 is 8004033.

It can be written as a sum of positive squares in 2 ways, for example, as 3090564 + 213444 = 1758^2 + 462^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3304003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7638 + ... + 8058.

Almost surely, 2^3304008 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 3304008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4525950).

3304008 is an abundant number, since it is smaller than the sum of its proper divisors (5747892).

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

3304008 is a wasteful number, since it uses less digits than its factorization.

3304008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3304008 is about 1817.6930433932. The cubic root of 3304008 is about 148.9408049772.

The spelling of 3304008 in words is "three million, three hundred four thousand, eight".