342857212800 has 384 divisors, whose sum is σ = 1155394800000. Its totient is φ = 89333882880.

The previous prime is 342857212787. The next prime is 342857212813. The reversal of 342857212800 is 8212758243.

It is an interprime number because it is at equal distance from previous prime (342857212787) and next prime (342857212813).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97985451 + ... + 97988949.

It is an arithmetic number, because the mean of its divisors is an integer number (3008840625).

Almost surely, 2^342857212800 is an apocalyptic number.

342857212800 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 342857212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577697400000).

342857212800 is an abundant number, since it is smaller than the sum of its proper divisors (812537587200).

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

342857212800 is a wasteful number, since it uses less digits than its factorization.

342857212800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3758 (or 3741 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 342857212800 in words is "three hundred forty-two billion, eight hundred fifty-seven million, two hundred twelve thousand, eight hundred".