342155937936384 has 1056 divisors, whose sum is σ = 1238272674537600. Its totient is φ = 92407277813760.

The previous prime is 342155937936277. The next prime is 342155937936437. The reversal of 342155937936384 is 483639739551243.

342155937936384 is a `hidden beast` number, since 3 + 4 + 2 + 1 + 559 + 3 + 7 + 9 + 3 + 63 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 1490416552 + ... + 1490646104.

Almost surely, 2^{342155937936384} 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 342155937936384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619136337268800).

342155937936384 is an abundant number, since it is smaller than the sum of its proper divisors (896116736601216).

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

342155937936384 is a wasteful number, since it uses less digits than its factorization.

342155937936384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229648 (or 229611 counting only the distinct ones).

The product of its digits is 1763596800, while the sum is 72.

The spelling of 342155937936384 in words is "three hundred forty-two trillion, one hundred fifty-five billion, nine hundred thirty-seven million, nine hundred thirty-six thousand, three hundred eighty-four".