3289280904 has 192 divisors, whose sum is σ = 11609619840. Its totient is φ = 816445440.

The previous prime is 3289280903. The next prime is 3289280923. The reversal of 3289280904 is 4090829823.

3289280904 is a `hidden beast` number, since 3 + 289 + 280 + 90 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3289280904.

It is not an unprimeable number, because it can be changed into a prime (3289280903) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96619 + ... + 126149.

It is an arithmetic number, because the mean of its divisors is an integer number (60466770).

Almost surely, 2^3289280904 is an apocalyptic number.

3289280904 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3289280904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5804809920).

3289280904 is an abundant number, since it is smaller than the sum of its proper divisors (8320338936).

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

3289280904 is a wasteful number, since it uses less digits than its factorization.

3289280904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29580 (or 29573 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 3289280904 is about 57352.2528241045. The cubic root of 3289280904 is about 1487.1918196290.

The spelling of 3289280904 in words is "three billion, two hundred eighty-nine million, two hundred eighty thousand, nine hundred four".