342338960304 has 320 divisors, whose sum is σ = 1140052032000. Its totient is φ = 97263452160.

The previous prime is 342338960303. The next prime is 342338960501. The reversal of 342338960304 is 403069833243.

342338960304 is a `hidden beast` number, since 3 + 4 + 2 + 3 + 38 + 9 + 603 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 342338960304.

It is not an unprimeable number, because it can be changed into a prime (342338960303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8738392 + ... + 8777480.

It is an arithmetic number, because the mean of its divisors is an integer number (3562662600).

Almost surely, 2^342338960304 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 342338960304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570026016000).

342338960304 is an abundant number, since it is smaller than the sum of its proper divisors (797713071696).

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

342338960304 is a wasteful number, since it uses less digits than its factorization.

342338960304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39233 (or 39221 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 342338960304 in words is "three hundred forty-two billion, three hundred thirty-eight million, nine hundred sixty thousand, three hundred four".