342758400 has 132 divisors (see below), whose sum is σ = 1133088192. Its totient is φ = 91381760.

The previous prime is 342758389. The next prime is 342758419. The reversal of 342758400 is 4857243.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74569 + ... + 79031.

Almost surely, 2^342758400 is an apocalyptic number.

342758400 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 342758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566544096).

342758400 is an abundant number, since it is smaller than the sum of its proper divisors (790329792).

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

342758400 is a wasteful number, since it uses less digits than its factorization.

342758400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4496 (or 4473 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 342758400 is about 18513.7354415580. The cubic root of 342758400 is about 699.8356076546.

The spelling of 342758400 in words is "three hundred forty-two million, seven hundred fifty-eight thousand, four hundred".