342992160 has 216 divisors, whose sum is σ = 1361836476. Its totient is φ = 78382080.

The previous prime is 342992159. The next prime is 342992173. The reversal of 342992160 is 61299243.

342992160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 332259984 + 10732176 = 18228^2 + 3276^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 68130 + ... + 72990.

Almost surely, 2^342992160 is an apocalyptic number.

342992160 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 342992160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680918238).

342992160 is an abundant number, since it is smaller than the sum of its proper divisors (1018844316).

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

342992160 is a wasteful number, since it uses less digits than its factorization.

342992160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4896 (or 4878 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 342992160 is about 18520.0475161377. The cubic root of 342992160 is about 699.9946666260.

The spelling of 342992160 in words is "three hundred forty-two million, nine hundred ninety-two thousand, one hundred sixty".