342164160 has 504 divisors, whose sum is σ = 1377726480. Its totient is φ = 77635584.

The previous prime is 342164159. The next prime is 342164171. The reversal of 342164160 is 61461243.

342164160 is a `hidden beast` number, since 34 + 216 + 416 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9247662 + ... + 9247698.

Almost surely, 2^342164160 is an apocalyptic number.

342164160 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 342164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688863240).

342164160 is an abundant number, since it is smaller than the sum of its proper divisors (1035562320).

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

342164160 is a wasteful number, since it uses less digits than its factorization.

342164160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 342164160 is about 18497.6798545115. The cubic root of 342164160 is about 699.4309388708.

The spelling of 342164160 in words is "three hundred forty-two million, one hundred sixty-four thousand, one hundred sixty".