342125344000 has 288 divisors, whose sum is σ = 932769032832. Its totient is φ = 124006400000.

The previous prime is 342125343983. The next prime is 342125344049. The reversal of 342125344000 is 443521243.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 342125344000.

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, 122142600 + ... + 122145400.

It is an arithmetic number, because the mean of its divisors is an integer number (3238781364).

Almost surely, 2^342125344000 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 342125344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466384516416).

342125344000 is an abundant number, since it is smaller than the sum of its proper divisors (590643688832).

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

342125344000 is a wasteful number, since it uses less digits than its factorization.

342125344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3190 (or 3166 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 342125344000 its reverse (443521243), we get a palindrome (342568865243).

The spelling of 342125344000 in words is "three hundred forty-two billion, one hundred twenty-five million, three hundred forty-four thousand".