342857088000 has 2112 divisors, whose sum is σ = 1556643868416. Its totient is φ = 70778880000.

The previous prime is 342857087941. The next prime is 342857088001. The reversal of 342857088000 is 880758243.

342857088000 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342857088001) 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 191 ways as a sum of consecutive naturals, for example, 5620607970 + ... + 5620608030.

Almost surely, 2^342857088000 is an apocalyptic number.

342857088000 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 342857088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778321934208).

342857088000 is an abundant number, since it is smaller than the sum of its proper divisors (1213786780416).

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

342857088000 is a wasteful number, since it uses less digits than its factorization.

342857088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 342857088000 in words is "three hundred forty-two billion, eight hundred fifty-seven million, eighty-eight thousand".