342117090920 has 256 divisors, whose sum is σ = 938046873600. Its totient is φ = 110675496960.

The previous prime is 342117090919. The next prime is 342117090923. The reversal of 342117090920 is 29090711243.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (342117090923) 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 63 ways as a sum of consecutive naturals, for example, 69209969 + ... + 69214911.

It is an arithmetic number, because the mean of its divisors is an integer number (3664245600).

Almost surely, 2^342117090920 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 342117090920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469023436800).

342117090920 is an abundant number, since it is smaller than the sum of its proper divisors (595929782680).

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

342117090920 is a wasteful number, since it uses less digits than its factorization.

342117090920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5488 (or 5484 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 38.

The spelling of 342117090920 in words is "three hundred forty-two billion, one hundred seventeen million, ninety thousand, nine hundred twenty".