342175955890080 has 768 divisors, whose sum is σ = 1266396751065600. Its totient is φ = 76925875322880.

The previous prime is 342175955890073. The next prime is 342175955890147. The reversal of 342175955890080 is 80098559571243.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 342175955889993 and 342175955890020.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 477794670 + ... + 478510290.

It is an arithmetic number, because the mean of its divisors is an integer number (1648954102950).

Almost surely, 2^{342175955890080} is an apocalyptic number.

342175955890080 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 342175955890080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633198375532800).

342175955890080 is an abundant number, since it is smaller than the sum of its proper divisors (924220795175520).

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

342175955890080 is a wasteful number, since it uses less digits than its factorization.

342175955890080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715817 (or 715809 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 66.

The spelling of 342175955890080 in words is "three hundred forty-two trillion, one hundred seventy-five billion, nine hundred fifty-five million, eight hundred ninety thousand, eighty".