342972929520 has 240 divisors, whose sum is σ = 1269267199200. Its totient is φ = 82460657664.

The previous prime is 342972929513. The next prime is 342972929543. The reversal of 342972929520 is 25929279243.

342972929520 is a `hidden beast` number, since 3 + 4 + 2 + 97 + 2 + 9 + 29 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 23595 + ... + 828554.

It is an arithmetic number, because the mean of its divisors is an integer number (5288613330).

Almost surely, 2^342972929520 is an apocalyptic number.

342972929520 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 342972929520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634633599600).

342972929520 is an abundant number, since it is smaller than the sum of its proper divisors (926294269680).

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

342972929520 is a wasteful number, since it uses less digits than its factorization.

342972929520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852224 (or 852215 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 342972929520 in words is "three hundred forty-two billion, nine hundred seventy-two million, nine hundred twenty-nine thousand, five hundred twenty".