342715801344 has 288 divisors, whose sum is σ = 1073058792960. Its totient is φ = 95064883200.

The previous prime is 342715801343. The next prime is 342715801397. The reversal of 342715801344 is 443108517243.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 342715801296 and 342715801305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342715801343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46504092 + ... + 46511460.

Almost surely, 2^342715801344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342715801344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536529396480).

342715801344 is an abundant number, since it is smaller than the sum of its proper divisors (730342991616).

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

342715801344 is a wasteful number, since it uses less digits than its factorization.

342715801344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7647 (or 7633 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 342715801344 in words is "three hundred forty-two billion, seven hundred fifteen million, eight hundred one thousand, three hundred forty-four".