3120961536 has 384 divisors, whose sum is σ = 11542003200. Its totient is φ = 809533440.

The previous prime is 3120961511. The next prime is 3120961553. The reversal of 3120961536 is 6351690213.

3120961536 is a `hidden beast` number, since 3 + 1 + 2 + 0 + 9 + 615 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3120961536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4257426 + ... + 4258158.

It is an arithmetic number, because the mean of its divisors is an integer number (30057300).

Almost surely, 2^3120961536 is an apocalyptic number.

3120961536 is a gapful number since it is divisible by the number (36) 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 3120961536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5771001600).

3120961536 is an abundant number, since it is smaller than the sum of its proper divisors (8421041664).

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

3120961536 is a wasteful number, since it uses less digits than its factorization.

3120961536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 3120961536 is about 55865.5666399259. The cubic root of 3120961536 is about 1461.3788087979.

The spelling of 3120961536 in words is "three billion, one hundred twenty million, nine hundred sixty-one thousand, five hundred thirty-six".