3111480864 has 144 divisors (see below), whose sum is σ = 9262693440. Its totient is φ = 1027365120.

The previous prime is 3111480859. The next prime is 3111480949. The reversal of 3111480864 is 4680841113.

It is a happy number.

3111480864 is a `hidden beast` number, since 3 + 111 + 480 + 8 + 64 = 666.

3111480864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 845749 + ... + 849419.

It is an arithmetic number, because the mean of its divisors is an integer number (64324260).

Almost surely, 2^3111480864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3111480864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4631346720).

3111480864 is an abundant number, since it is smaller than the sum of its proper divisors (6151212576).

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

3111480864 is a wasteful number, since it uses less digits than its factorization.

3111480864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3805 (or 3785 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 3111480864 is about 55780.6495480288. The cubic root of 3111480864 is about 1459.8975445712.

The spelling of 3111480864 in words is "three billion, one hundred eleven million, four hundred eighty thousand, eight hundred sixty-four".