342191900160 has 1120 divisors, whose sum is σ = 1365381895680. Its totient is φ = 81517363200.

The previous prime is 342191900129. The next prime is 342191900177. The reversal of 342191900160 is 61009191243.

It is a happy number.

342191900160 is a `hidden beast` number, since 3 + 421 + 91 + 90 + 0 + 1 + 60 = 666.

It is a super-2 number, since 2×342191900160² (a number of 24 digits) contains 22 as substring.

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 111 ways as a sum of consecutive naturals, for example, 1621762455 + ... + 1621762665.

Almost surely, 2^342191900160 is an apocalyptic number.

342191900160 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 342191900160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682690947840).

342191900160 is an abundant number, since it is smaller than the sum of its proper divisors (1023189995520).

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

342191900160 is an equidigital number, since it uses as much as digits as its factorization.

342191900160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 342191900160 in words is "three hundred forty-two billion, one hundred ninety-one million, nine hundred thousand, one hundred sixty".