3111980256 has 384 divisors, whose sum is σ = 11713766400. Its totient is φ = 779950080.

The previous prime is 3111980239. The next prime is 3111980257. The reversal of 3111980256 is 6520891113.

3111980256 is a `hidden beast` number, since 311 + 1 + 98 + 0 + 256 = 666.

3111980256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3111980256² = 19368842227467651072, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3111980256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3111980257) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1928506 + ... + 1930118.

It is an arithmetic number, because the mean of its divisors is an integer number (30504600).

Almost surely, 2^3111980256 is an apocalyptic number.

3111980256 is a gapful number since it is divisible by the number (36) 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 3111980256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5856883200).

3111980256 is an abundant number, since it is smaller than the sum of its proper divisors (8601786144).

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

3111980256 is a wasteful number, since it uses less digits than its factorization.

3111980256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 3111980256 is about 55785.1257594710. The cubic root of 3111980256 is about 1459.9756448055.

The spelling of 3111980256 in words is "three billion, one hundred eleven million, nine hundred eighty thousand, two hundred fifty-six".