3282584904 has 48 divisors (see below), whose sum is σ = 9079499520. Its totient is φ = 1070913120.

The previous prime is 3282584897. The next prime is 3282584911. The reversal of 3282584904 is 4094852823.

3282584904 is a `hidden beast` number, since 32 + 82 + 58 + 490 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3282584897) and next prime (3282584911).

It is a self number, because there is not a number n which added to its sum of digits gives 3282584904.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 481632 + ... + 488399.

It is an arithmetic number, because the mean of its divisors is an integer number (189156240).

Almost surely, 2^3282584904 is an apocalyptic number.

It is an amenable number.

3282584904 is an abundant number, since it is smaller than the sum of its proper divisors (5796914616).

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

3282584904 is a wasteful number, since it uses less digits than its factorization.

3282584904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970090 (or 970083 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 3282584904 is about 57293.8469994815. The cubic root of 3282584904 is about 1486.1819736367.

The spelling of 3282584904 in words is "three billion, two hundred eighty-two million, five hundred eighty-four thousand, nine hundred four".