3117668512 has 108 divisors (see below), whose sum is σ = 7381336410. Its totient is φ = 1292417280.

The previous prime is 3117668509. The next prime is 3117668537. The reversal of 3117668512 is 2158667113.

It is a happy number.

3117668512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2990339856 + 127328656 = 54684^2 + 11284^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1505814 + ... + 1507882.

Almost surely, 2^3117668512 is an apocalyptic number.

3117668512 is a gapful number since it is divisible by the number (32) 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 3117668512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3690668205).

3117668512 is an abundant number, since it is smaller than the sum of its proper divisors (4263667898).

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

3117668512 is a wasteful number, since it uses less digits than its factorization.

3117668512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2155 (or 2109 counting only the distinct ones).

The product of its digits is 60480, while the sum is 40.

The square root of 3117668512 is about 55836.0861092538. The cubic root of 3117668512 is about 1460.8646457765.

The spelling of 3117668512 in words is "three billion, one hundred seventeen million, six hundred sixty-eight thousand, five hundred twelve".