312346782720 has 880 divisors, whose sum is σ = 1354629925440. Its totient is φ = 67183312896.

The previous prime is 312346782691. The next prime is 312346782749. The reversal of 312346782720 is 27287643213.

312346782720 is a `hidden beast` number, since 31 + 2 + 346 + 7 + 8 + 272 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (312346782691) and next prime (312346782749).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 49348516 + ... + 49354844.

It is an arithmetic number, because the mean of its divisors is an integer number (1539352188).

Almost surely, 2^312346782720 is an apocalyptic number.

312346782720 is a gapful number since it is divisible by the number (30) 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 312346782720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677314962720).

312346782720 is an abundant number, since it is smaller than the sum of its proper divisors (1042283142720).

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

312346782720 is a wasteful number, since it uses less digits than its factorization.

312346782720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6390 (or 6363 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 312346782720 in words is "three hundred twelve billion, three hundred forty-six million, seven hundred eighty-two thousand, seven hundred twenty".