3072756960 has 576 divisors, whose sum is σ = 13076743680. Its totient is φ = 639774720.

The previous prime is 3072756941. The next prime is 3072756961. The reversal of 3072756960 is 696572703.

3072756960 is a `hidden beast` number, since 3 + 0 + 7 + 27 + 569 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3072756961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17166151 + ... + 17166329.

It is an arithmetic number, because the mean of its divisors is an integer number (22702680).

Almost surely, 2^3072756960 is an apocalyptic number.

3072756960 is a gapful number since it is divisible by the number (30) 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 3072756960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6538371840).

3072756960 is an abundant number, since it is smaller than the sum of its proper divisors (10003986720).

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

3072756960 is a wasteful number, since it uses less digits than its factorization.

3072756960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The square root of 3072756960 is about 55432.4540319117. The cubic root of 3072756960 is about 1453.8158644257.

The spelling of 3072756960 in words is "three billion, seventy-two million, seven hundred fifty-six thousand, nine hundred sixty".