313638912 has 120 divisors (see below), whose sum is σ = 930582800. Its totient is φ = 104398848.

The previous prime is 313638911. The next prime is 313638917. The reversal of 313638912 is 219836313.

313638912 is a `hidden beast` number, since 3 + 1 + 3 + 638 + 9 + 12 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313638911) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 442014 + ... + 442722.

Almost surely, 2^313638912 is an apocalyptic number.

313638912 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 313638912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465291400).

313638912 is an abundant number, since it is smaller than the sum of its proper divisors (616943888).

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

313638912 is an frugal number, since it uses more digits than its factorization.

313638912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 714 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 313638912 is about 17709.8535284739. The cubic root of 313638912 is about 679.4278000759.

The spelling of 313638912 in words is "three hundred thirteen million, six hundred thirty-eight thousand, nine hundred twelve".