342880876800 has 1296 divisors, whose sum is σ = 1546059295872. Its totient is φ = 70424985600.

The previous prime is 342880876799. The next prime is 342880876813. The reversal of 342880876800 is 8678088243.

342880876800 is a `hidden beast` number, since 3 + 428 + 80 + 87 + 68 + 0 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 430214002 + ... + 430214798.

Almost surely, 2^342880876800 is an apocalyptic number.

342880876800 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 342880876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773029647936).

342880876800 is an abundant number, since it is smaller than the sum of its proper divisors (1203178419072).

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

342880876800 is a wasteful number, since it uses less digits than its factorization.

342880876800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 342880876800 in words is "three hundred forty-two billion, eight hundred eighty million, eight hundred seventy-six thousand, eight hundred".