3097074960 has 320 divisors, whose sum is σ = 12909888000. Its totient is φ = 666206208.

The previous prime is 3097074941. The next prime is 3097074983. The reversal of 3097074960 is 694707903.

3097074960 = 254³ + 255³ + ... + 358³.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 251016 + ... + 263064.

It is an arithmetic number, because the mean of its divisors is an integer number (40343400).

Almost surely, 2^3097074960 is an apocalyptic number.

3097074960 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 3097074960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6454944000).

3097074960 is an abundant number, since it is smaller than the sum of its proper divisors (9812813040).

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

3097074960 is a wasteful number, since it uses less digits than its factorization.

3097074960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12095 (or 12083 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 3097074960 is about 55651.3697944624. The cubic root of 3097074960 is about 1457.6409893553.

The spelling of 3097074960 in words is "three billion, ninety-seven million, seventy-four thousand, nine hundred sixty".