342710400 has 192 divisors, whose sum is σ = 1168675200. Its totient is φ = 88166400.

The previous prime is 342710393. The next prime is 342710461. The reversal of 342710400 is 4017243.

It is a tau number, because it is divible by the number of its divisors (192).

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, 277785 + ... + 279015.

It is an arithmetic number, because the mean of its divisors is an integer number (6086850).

Almost surely, 2^342710400 is an apocalyptic number.

342710400 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 342710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584337600).

342710400 is an abundant number, since it is smaller than the sum of its proper divisors (825964800).

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

342710400 is a wasteful number, since it uses less digits than its factorization.

342710400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 342710400 is about 18512.4390613447. The cubic root of 342710400 is about 699.8029377260.

Adding to 342710400 its reverse (4017243), we get a palindrome (346727643).

The spelling of 342710400 in words is "three hundred forty-two million, seven hundred ten thousand, four hundred".