342884039105520 has 640 divisors, whose sum is σ = 1346472220262400. Its totient is φ = 79388607513600.

The previous prime is 342884039105507. The next prime is 342884039105551. The reversal of 342884039105520 is 25501930488243.

342884039105520 is a `hidden beast` number, since 3 + 4 + 2 + 8 + 8 + 4 + 0 + 3 + 9 + 105 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 359654265 + ... + 360606375.

It is an arithmetic number, because the mean of its divisors is an integer number (2103862844160).

Almost surely, 2^{342884039105520} is an apocalyptic number.

342884039105520 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 342884039105520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673236110131200).

342884039105520 is an abundant number, since it is smaller than the sum of its proper divisors (1003588181156880).

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

342884039105520 is a wasteful number, since it uses less digits than its factorization.

342884039105520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952826 (or 952814 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 342884039105520 in words is "three hundred forty-two trillion, eight hundred eighty-four billion, thirty-nine million, one hundred five thousand, five hundred twenty".