342192400 has 120 divisors (see below), whose sum is σ = 908629344. Its totient is φ = 122803200.

The previous prime is 342192397. The next prime is 342192457. The reversal of 342192400 is 4291243.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 23 ways as a sum of consecutive naturals, for example, 364732 + ... + 365668.

Almost surely, 2^342192400 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 342192400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454314672).

342192400 is an abundant number, since it is smaller than the sum of its proper divisors (566436944).

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

342192400 is a wasteful number, since it uses less digits than its factorization.

342192400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 342192400 is about 18498.4431777380. The cubic root of 342192400 is about 699.4501804987.

The spelling of 342192400 in words is "three hundred forty-two million, one hundred ninety-two thousand, four hundred".