342106333207072 has 192 divisors, whose sum is σ = 779390017781760. Its totient is φ = 144793716480000.

The previous prime is 342106333207019. The next prime is 342106333207091. The reversal of 342106333207072 is 270702333601243.

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, 3296754804 + ... + 3296858572.

It is an arithmetic number, because the mean of its divisors is an integer number (4059323009280).

Almost surely, 2^{342106333207072} is an apocalyptic number.

342106333207072 is a gapful number since it is divisible by the number (32) 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 342106333207072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389695008890880).

342106333207072 is an abundant number, since it is smaller than the sum of its proper divisors (437283684574688).

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

342106333207072 is a wasteful number, since it uses less digits than its factorization.

342106333207072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104535 (or 104527 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 43.

The spelling of 342106333207072 in words is "three hundred forty-two trillion, one hundred six billion, three hundred thirty-three million, two hundred seven thousand, seventy-two".