342734400 has 126 divisors (see below), whose sum is σ = 1218210162. Its totient is φ = 91392000.

The previous prime is 342734393. The next prime is 342734423. The reversal of 342734400 is 4437243.

It can be written as a sum of positive squares in 3 ways, for example, as 47444544 + 295289856 = 6888^2 + 17184^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2500 + ... + 26300.

Almost surely, 2^342734400 is an apocalyptic number.

342734400 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 342734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609105081).

342734400 is an abundant number, since it is smaller than the sum of its proper divisors (875475762).

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

342734400 is a wasteful number, since it uses less digits than its factorization.

342734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23829 (or 23811 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 342734400 is about 18513.0872627987. The cubic root of 342734400 is about 699.8192730716.

The spelling of 342734400 in words is "three hundred forty-two million, seven hundred thirty-four thousand, four hundred".