342400392 has 64 divisors (see below), whose sum is σ = 959904000. Its totient is φ = 113078592.

The previous prime is 342400391. The next prime is 342400393. The reversal of 342400392 is 293004243.

It is a happy number.

342400392 is a `hidden beast` number, since 34 + 240 + 0 + 392 = 666.

It is an interprime number because it is at equal distance from previous prime (342400391) and next prime (342400393).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (342400391) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16273 + ... + 30815.

It is an arithmetic number, because the mean of its divisors is an integer number (14998500).

Almost surely, 2^342400392 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 342400392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479952000).

342400392 is an abundant number, since it is smaller than the sum of its proper divisors (617503608).

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

342400392 is a wasteful number, since it uses less digits than its factorization.

342400392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14667 (or 14657 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 342400392 is about 18504.0642022233. The cubic root of 342400392 is about 699.5918654851.

The spelling of 342400392 in words is "three hundred forty-two million, four hundred thousand, three hundred ninety-two".