3075115680 has 576 divisors, whose sum is σ = 13349726208. Its totient is φ = 627056640.

The previous prime is 3075115679. The next prime is 3075115723. The reversal of 3075115680 is 865115703.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4061862 + ... + 4062618.

It is an arithmetic number, because the mean of its divisors is an integer number (23176608).

Almost surely, 2^3075115680 is an apocalyptic number.

3075115680 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 3075115680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6674863104).

3075115680 is an abundant number, since it is smaller than the sum of its proper divisors (10274610528).

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

3075115680 is a wasteful number, since it uses less digits than its factorization.

3075115680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 3075115680 is about 55453.7255736709. The cubic root of 3075115680 is about 1454.1877636185.

The spelling of 3075115680 in words is "three billion, seventy-five million, one hundred fifteen thousand, six hundred eighty".