3113938400 has 72 divisors (see below), whose sum is σ = 7662009600. Its totient is φ = 1235727360.

The previous prime is 3113938391. The next prime is 3113938411. The reversal of 3113938400 is 48393113.

It is a happy number.

It is a super-2 number, since 2×3113938400² = 19393224717989120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86276 + ... + 116924.

It is an arithmetic number, because the mean of its divisors is an integer number (106416800).

Almost surely, 2^3113938400 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 3113938400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3831004800).

3113938400 is an abundant number, since it is smaller than the sum of its proper divisors (4548071200).

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

3113938400 is a wasteful number, since it uses less digits than its factorization.

3113938400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30796 (or 30783 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 3113938400 is about 55802.6737710658. The cubic root of 3113938400 is about 1460.2817996118.

The spelling of 3113938400 in words is "three billion, one hundred thirteen million, nine hundred thirty-eight thousand, four hundred".