342688888795680 has 1152 divisors, whose sum is σ = 1430638268387328. Its totient is φ = 72995705266176.

The previous prime is 342688888795679. The next prime is 342688888795753. The reversal of 342688888795680 is 86597888886243.

342688888795680 is a `hidden beast` number, since 3 + 4 + 268 + 88 + 88 + 79 + 56 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (90).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3957697347 + ... + 3957783933.

It is an arithmetic number, because the mean of its divisors is an integer number (1241873496864).

Almost surely, 2^{342688888795680} is an apocalyptic number.

342688888795680 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 342688888795680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715319134193664).

342688888795680 is an abundant number, since it is smaller than the sum of its proper divisors (1087949379591648).

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

342688888795680 is a wasteful number, since it uses less digits than its factorization.

342688888795680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87078 (or 87067 counting only the distinct ones).

The product of its (nonzero) digits is 71345111040, while the sum is 90.

The spelling of 342688888795680 in words is "three hundred forty-two trillion, six hundred eighty-eight billion, eight hundred eighty-eight million, seven hundred ninety-five thousand, six hundred eighty".