342144831600 has 480 divisors, whose sum is σ = 1430687596800. Its totient is φ = 76563532800.

The previous prime is 342144831599. The next prime is 342144831601. The reversal of 342144831600 is 6138441243.

342144831600 is a `hidden beast` number, since 3 + 4 + 2 + 1 + 4 + 48 + 3 + 1 + 600 = 666.

342144831600 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (342144831599) and next prime (342144831601).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342144831601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1433631 + ... + 1655169.

It is an arithmetic number, because the mean of its divisors is an integer number (2980599160).

Almost surely, 2^342144831600 is an apocalyptic number.

342144831600 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 342144831600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715343798400).

342144831600 is an abundant number, since it is smaller than the sum of its proper divisors (1088542765200).

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

342144831600 is a wasteful number, since it uses less digits than its factorization.

342144831600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221590 (or 221573 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 342144831600 in words is "three hundred forty-two billion, one hundred forty-four million, eight hundred thirty-one thousand, six hundred".