342918144 has 176 divisors, whose sum is σ = 1034963200. Its totient is φ = 112140288.

The previous prime is 342918139. The next prime is 342918151. The reversal of 342918144 is 441819243.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 342918099 and 342918108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2184114 + ... + 2184270.

Almost surely, 2^342918144 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 342918144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517481600).

342918144 is an abundant number, since it is smaller than the sum of its proper divisors (692045056).

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

342918144 is a wasteful number, since it uses less digits than its factorization.

342918144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 241 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 342918144 is about 18518.0491413108. The cubic root of 342918144 is about 699.9443112160.

342918144 divided by its product of digits (27648) gives a triangular number (12403 = T₁₅₇).

The spelling of 342918144 in words is "three hundred forty-two million, nine hundred eighteen thousand, one hundred forty-four".