3247664904 has 288 divisors, whose sum is σ = 10539940320. Its totient is φ = 892800000.

The previous prime is 3247664897. The next prime is 3247664923. The reversal of 3247664904 is 4094667423.

It is a happy number.

3247664904 is a `hidden beast` number, since 32 + 476 + 64 + 90 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3247664904.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12938779 + ... + 12939029.

It is an arithmetic number, because the mean of its divisors is an integer number (36597015).

Almost surely, 2^3247664904 is an apocalyptic number.

3247664904 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 3247664904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5269970160).

3247664904 is an abundant number, since it is smaller than the sum of its proper divisors (7292275416).

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

3247664904 is a wasteful number, since it uses less digits than its factorization.

3247664904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 3247664904 is about 56988.2874282076. The cubic root of 3247664904 is about 1480.8931947087.

The spelling of 3247664904 in words is "three billion, two hundred forty-seven million, six hundred sixty-four thousand, nine hundred four".