342908200320 has 256 divisors, whose sum is σ = 1249995801600. Its totient is φ = 78326931456.

The previous prime is 342908200309. The next prime is 342908200331. The reversal of 342908200320 is 23002809243.

It is an interprime number because it is at equal distance from previous prime (342908200309) and next prime (342908200331).

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, 22423717 + ... + 22439003.

It is an arithmetic number, because the mean of its divisors is an integer number (4882796100).

Almost surely, 2^342908200320 is an apocalyptic number.

342908200320 is a gapful number since it is divisible by the number (30) 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 342908200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624997900800).

342908200320 is an abundant number, since it is smaller than the sum of its proper divisors (907087601280).

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

342908200320 is a wasteful number, since it uses less digits than its factorization.

342908200320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16985 (or 16973 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 342908200320 in words is "three hundred forty-two billion, nine hundred eight million, two hundred thousand, three hundred twenty".