312632364 has 48 divisors (see below), whose sum is σ = 798698880. Its totient is φ = 94391040.

The previous prime is 312632357. The next prime is 312632371. The reversal of 312632364 is 463236213.

312632364 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (312632357) and next prime (312632371).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33172 + ... + 41540.

It is an arithmetic number, because the mean of its divisors is an integer number (16639560).

Almost surely, 2^312632364 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 312632364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399349440).

312632364 is an abundant number, since it is smaller than the sum of its proper divisors (486066516).

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

312632364 is a wasteful number, since it uses less digits than its factorization.

312632364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8670 (or 8668 counting only the distinct ones).

The product of its digits is 15552, while the sum is 30.

The square root of 312632364 is about 17681.4129525895. The cubic root of 312632364 is about 678.7002016041.

Adding to 312632364 its reverse (463236213), we get a palindrome (775868577).

The spelling of 312632364 in words is "three hundred twelve million, six hundred thirty-two thousand, three hundred sixty-four".