342502446096720 has 3840 divisors, whose sum is σ = 1553062380503040. Its totient is φ = 67822446182400.

The previous prime is 342502446096719. The next prime is 342502446096743. The reversal of 342502446096720 is 27690644205243.

342502446096720 is a `hidden beast` number, since 3 + 4 + 2 + 5 + 0 + 2 + 4 + 4 + 609 + 6 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 657394330060 + ... + 657394330580.

It is an arithmetic number, because the mean of its divisors is an integer number (404443328256).

Almost surely, 2^{342502446096720} is an apocalyptic number.

342502446096720 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 342502446096720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776531190251520).

342502446096720 is an abundant number, since it is smaller than the sum of its proper divisors (1210559934406320).

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

342502446096720 is a wasteful number, since it uses less digits than its factorization.

342502446096720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 342502446096720 in words is "three hundred forty-two trillion, five hundred two billion, four hundred forty-six million, ninety-six thousand, seven hundred twenty".