342867168 has 144 divisors (see below), whose sum is σ = 1155772800. Its totient is φ = 97946496.

The previous prime is 342867167. The next prime is 342867191. The reversal of 342867168 is 861768243.

342867168 is a `hidden beast` number, since 3 + 428 + 67 + 168 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×342867168³ (a number of 27 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342867163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51283 + ... + 57581.

It is an arithmetic number, because the mean of its divisors is an integer number (8026200).

Almost surely, 2^342867168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342867168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577886400).

342867168 is an abundant number, since it is smaller than the sum of its proper divisors (812905632).

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

342867168 is an equidigital number, since it uses as much as digits as its factorization.

342867168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6331 (or 6311 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 342867168 is about 18516.6727032693. The cubic root of 342867168 is about 699.9096264281.

The spelling of 342867168 in words is "three hundred forty-two million, eight hundred sixty-seven thousand, one hundred sixty-eight".