342891360000 has 2880 divisors, whose sum is σ = 1655110195200. Its totient is φ = 68124672000.

The previous prime is 342891359999. The next prime is 342891360067. The reversal of 342891360000 is 63198243.

342891360000 is a `hidden beast` number, since 3 + 42 + 8 + 9 + 1 + 3 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 11823839986 + ... + 11823840014.

It is an arithmetic number, because the mean of its divisors is an integer number (574691040).

Almost surely, 2^342891360000 is an apocalyptic number.

342891360000 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 342891360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827555097600).

342891360000 is an abundant number, since it is smaller than the sum of its proper divisors (1312218835200).

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

342891360000 is a wasteful number, since it uses less digits than its factorization.

342891360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 342891360000 in words is "three hundred forty-two billion, eight hundred ninety-one million, three hundred sixty thousand".