312344012342340 has 192 divisors, whose sum is σ = 1074598247358720. Its totient is φ = 74682503470080.

The previous prime is 312344012342339. The next prime is 312344012342363. The reversal of 312344012342340 is 43243210443213.

312344012342340 is a `hidden beast` number, since 3 + 1 + 2 + 34 + 40 + 123 + 423 + 40 = 666.

It is a super-2 number, since 2×312344012342340² (a number of 30 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 312344012342295 and 312344012342304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 359725059 + ... + 360592298.

It is an arithmetic number, because the mean of its divisors is an integer number (5596865871660).

Almost surely, 2^{312344012342340} is an apocalyptic number.

312344012342340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312344012342340 is an abundant number, since it is smaller than the sum of its proper divisors (762254235016380).

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

312344012342340 is a wasteful number, since it uses less digits than its factorization.

312344012342340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720317459 (or 720317451 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 312344012342340 its reverse (43243210443213), we get a palindrome (355587222785553).

The spelling of 312344012342340 in words is "three hundred twelve trillion, three hundred forty-four billion, twelve million, three hundred forty-two thousand, three hundred forty".