3113562816 has 336 divisors, whose sum is σ = 11076968448. Its totient is φ = 814233600.

The previous prime is 3113562763. The next prime is 3113562817. The reversal of 3113562816 is 6182653113.

3113562816 is a `hidden beast` number, since 3 + 1 + 13 + 5 + 628 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

Its product of digits (25920) is a multiple of the sum of its prime factors (540).

It is not an unprimeable number, because it can be changed into a prime (3113562817) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10011301 + ... + 10011611.

It is an arithmetic number, because the mean of its divisors is an integer number (32967168).

Almost surely, 2^3113562816 is an apocalyptic number.

3113562816 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 3113562816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5538484224).

3113562816 is an abundant number, since it is smaller than the sum of its proper divisors (7963405632).

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

3113562816 is a wasteful number, since it uses less digits than its factorization.

3113562816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 527 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 3113562816 is about 55799.3083828106. The cubic root of 3113562816 is about 1460.2230871967.

The spelling of 3113562816 in words is "three billion, one hundred thirteen million, five hundred sixty-two thousand, eight hundred sixteen".