342092744064 has 256 divisors, whose sum is σ = 1115524224000. Its totient is φ = 102656581632.

The previous prime is 342092744057. The next prime is 342092744131. The reversal of 342092744064 is 460447290243.

342092744064 is a `hidden beast` number, since 34 + 209 + 2 + 7 + 4 + 406 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1224717 + ... + 1477875.

It is an arithmetic number, because the mean of its divisors is an integer number (4357516500).

Almost surely, 2^342092744064 is an apocalyptic number.

342092744064 is a gapful number since it is divisible by the number (34) 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 342092744064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557762112000).

342092744064 is an abundant number, since it is smaller than the sum of its proper divisors (773431479936).

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

342092744064 is a wasteful number, since it uses less digits than its factorization.

342092744064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253222 (or 253204 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 342092744064 in words is "three hundred forty-two billion, ninety-two million, seven hundred forty-four thousand, sixty-four".