3218056704 has 240 divisors, whose sum is σ = 9655074000. Its totient is φ = 1031159808.

The previous prime is 3218056669. The next prime is 3218056741. The reversal of 3218056704 is 4076508123.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21597622 + ... + 21597770.

It is an arithmetic number, because the mean of its divisors is an integer number (40229475).

Almost surely, 2^3218056704 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 3218056704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4827537000).

3218056704 is an abundant number, since it is smaller than the sum of its proper divisors (6437017296).

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

3218056704 is a wasteful number, since it uses less digits than its factorization.

3218056704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 3218056704 is about 56727.9182061179. The cubic root of 3218056704 is about 1476.3791301392.

It can be divided in two parts, 321805 and 6704, that added together give a cube (328509 = 69³).

The spelling of 3218056704 in words is "three billion, two hundred eighteen million, fifty-six thousand, seven hundred four".