3087912960 has 312 divisors, whose sum is σ = 11684166624. Its totient is φ = 748093440.

The previous prime is 3087912943. The next prime is 3087913009. The reversal of 3087912960 is 692197803.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2026759 + ... + 2028281.

It is an arithmetic number, because the mean of its divisors is an integer number (37449252).

Almost surely, 2^3087912960 is an apocalyptic number.

3087912960 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 3087912960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5842083312).

3087912960 is an abundant number, since it is smaller than the sum of its proper divisors (8596253664).

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

3087912960 is a wasteful number, since it uses less digits than its factorization.

3087912960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 3087912960 is about 55568.9927927437. The cubic root of 3087912960 is about 1456.2022019223.

The spelling of 3087912960 in words is "three billion, eighty-seven million, nine hundred twelve thousand, nine hundred sixty".