342993499046784 has 2304 divisors, whose sum is σ = 1142782425907200. Its totient is φ = 98398564024320.

The previous prime is 342993499046773. The next prime is 342993499046801. The reversal of 342993499046784 is 487640994399243.

342993499046784 is a `hidden beast` number, since 3 + 4 + 2 + 9 + 9 + 3 + 499 + 0 + 46 + 7 + 84 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3330033971277 + ... + 3330033971379.

It is an arithmetic number, because the mean of its divisors is an integer number (495999316800).

Almost surely, 2^{342993499046784} 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 342993499046784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571391212953600).

342993499046784 is an abundant number, since it is smaller than the sum of its proper divisors (799788926860416).

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

342993499046784 is a wasteful number, since it uses less digits than its factorization.

342993499046784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 10158317568, while the sum is 81.

The spelling of 342993499046784 in words is "three hundred forty-two trillion, nine hundred ninety-three billion, four hundred ninety-nine million, forty-six thousand, seven hundred eighty-four".