342731343052800 has 2160 divisors, whose sum is σ = 1451855851965792. Its totient is φ = 79396916428800.

The previous prime is 342731343052771. The next prime is 342731343052801. The reversal of 342731343052800 is 8250343137243.

342731343052800 is a `hidden beast` number, since 3 + 4 + 2 + 7 + 31 + 34 + 305 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (342731343052801) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 21996741010 + ... + 21996756590.

Almost surely, 2^{342731343052800} is an apocalyptic number.

342731343052800 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 342731343052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725927925982896).

342731343052800 is an abundant number, since it is smaller than the sum of its proper divisors (1109124508912992).

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

342731343052800 is a wasteful number, since it uses less digits than its factorization.

342731343052800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15664 (or 15621 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 342731343052800 in words is "three hundred forty-two trillion, seven hundred thirty-one billion, three hundred forty-three million, fifty-two thousand, eight hundred".