342796744829760 has 448 divisors, whose sum is σ = 1200846355833600. Its totient is φ = 82311882670080.

The previous prime is 342796744829741. The next prime is 342796744829821. The reversal of 342796744829760 is 67928447697243.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4320074566 + ... + 4320153914.

It is an arithmetic number, because the mean of its divisors is an integer number (2680460615700).

Almost surely, 2^{342796744829760} is an apocalyptic number.

342796744829760 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 342796744829760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600423177916800).

342796744829760 is an abundant number, since it is smaller than the sum of its proper divisors (858049611003840).

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

342796744829760 is a wasteful number, since it uses less digits than its factorization.

342796744829760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87866 (or 87856 counting only the distinct ones).

The product of its (nonzero) digits is 6145155072, while the sum is 78.

The spelling of 342796744829760 in words is "three hundred forty-two trillion, seven hundred ninety-six billion, seven hundred forty-four million, eight hundred twenty-nine thousand, seven hundred sixty".