3111457920 has 64 divisors (see below), whose sum is σ = 9917778240. Its totient is φ = 829721600.

The previous prime is 3111457891. The next prime is 3111457931. The reversal of 3111457920 is 297541113.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 808356 + ... + 812195.

It is an arithmetic number, because the mean of its divisors is an integer number (154965285).

Almost surely, 2^3111457920 is an apocalyptic number.

3111457920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3111457920 is an abundant number, since it is smaller than the sum of its proper divisors (6806320320).

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

3111457920 is a wasteful number, since it uses less digits than its factorization.

3111457920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620573 (or 1620561 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 3111457920 is about 55780.4438849316. The cubic root of 3111457920 is about 1459.8939561436.

The spelling of 3111457920 in words is "three billion, one hundred eleven million, four hundred fifty-seven thousand, nine hundred twenty".