342309608000 has 224 divisors, whose sum is σ = 855296402688. Its totient is φ = 135708672000.

The previous prime is 342309607979. The next prime is 342309608029. The reversal of 342309608000 is 806903243.

It is a happy number.

It is a super-2 number, since 2×342309608000² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 680535749 + ... + 680536251.

It is an arithmetic number, because the mean of its divisors is an integer number (3818287512).

Almost surely, 2^342309608000 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 342309608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427648201344).

342309608000 is an abundant number, since it is smaller than the sum of its proper divisors (512986794688).

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

342309608000 is a wasteful number, since it uses less digits than its factorization.

342309608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The spelling of 342309608000 in words is "three hundred forty-two billion, three hundred nine million, six hundred eight thousand".