3218158944 has 576 divisors, whose sum is σ = 12812567040. Its totient is φ = 758937600.

The previous prime is 3218158927. The next prime is 3218158967. The reversal of 3218158944 is 4498518123.

3218158944 is a `hidden beast` number, since 3 + 21 + 8 + 1 + 589 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3218158944.

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 95 ways as a sum of consecutive naturals, for example, 52756674 + ... + 52756734.

It is an arithmetic number, because the mean of its divisors is an integer number (22244040).

Almost surely, 2^3218158944 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 3218158944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6406283520).

3218158944 is an abundant number, since it is smaller than the sum of its proper divisors (9594408096).

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

3218158944 is a wasteful number, since it uses less digits than its factorization.

3218158944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 97 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 3218158944 is about 56728.8193425529. The cubic root of 3218158944 is about 1476.3947651862.

It can be divided in two parts, 32181 and 58944, that added together give a cube (91125 = 45³).

The spelling of 3218158944 in words is "three billion, two hundred eighteen million, one hundred fifty-eight thousand, nine hundred forty-four".