312634368 has 66 divisors (see below), whose sum is σ = 902751564. Its totient is φ = 104208384.

The previous prime is 312634367. The next prime is 312634393. The reversal of 312634368 is 863436213.

312634368 is a `hidden beast` number, since 3 + 12 + 634 + 3 + 6 + 8 = 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 not an unprimeable number, because it can be changed into a prime (312634367) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7746 + ... + 26177.

It is an arithmetic number, because the mean of its divisors is an integer number (13678054).

Almost surely, 2^312634368 is an apocalyptic number.

It is an amenable number.

312634368 is an abundant number, since it is smaller than the sum of its proper divisors (590117196).

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

312634368 is a wasteful number, since it uses less digits than its factorization.

312634368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33949 (or 33928 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 312634368 is about 17681.4696221779. The cubic root of 312634368 is about 678.7016517763.

The spelling of 312634368 in words is "three hundred twelve million, six hundred thirty-four thousand, three hundred sixty-eight".