312340324320 has 96 divisors (see below), whose sum is σ = 1093191150240. Its totient is φ = 83290752000.

The previous prime is 312340324273. The next prime is 312340324321. The reversal of 312340324320 is 23423043213.

312340324320 is a `hidden beast` number, since 3 + 12 + 3 + 4 + 0 + 324 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312340324321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36146181 + ... + 36154820.

It is an arithmetic number, because the mean of its divisors is an integer number (11387407815).

Almost surely, 2^312340324320 is an apocalyptic number.

312340324320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312340324320 is an abundant number, since it is smaller than the sum of its proper divisors (780850825920).

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

312340324320 is a wasteful number, since it uses less digits than its factorization.

312340324320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72301025 (or 72301011 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 312340324320 its reverse (23423043213), we get a palindrome (335763367533).

The spelling of 312340324320 in words is "three hundred twelve billion, three hundred forty million, three hundred twenty-four thousand, three hundred twenty".