3112313400 has 432 divisors, whose sum is σ = 12363234000. Its totient is φ = 701366400.

The previous prime is 3112313389. The next prime is 3112313429. The reversal of 3112313400 is 43132113.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3112313400 is a `hidden beast` number, since 31 + 1 + 231 + 3 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 43835365 + ... + 43835435.

Almost surely, 2^3112313400 is an apocalyptic number.

3112313400 is a gapful number since it is divisible by the number (30) 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 3112313400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6181617000).

3112313400 is an abundant number, since it is smaller than the sum of its proper divisors (9250920600).

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

3112313400 is a wasteful number, since it uses less digits than its factorization.

3112313400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3112313400 is about 55788.1116367995. Note that the first 3 decimals coincide. The cubic root of 3112313400 is about 1460.0277407627.

Adding to 3112313400 its reverse (43132113), we get a palindrome (3155445513).

The spelling of 3112313400 in words is "three billion, one hundred twelve million, three hundred thirteen thousand, four hundred".