346120422400 has 99 divisors (see below), whose sum is σ = 858192912199. Its totient is φ = 138410516480.

The previous prime is 346120422379. The next prime is 346120422409. The reversal of 346120422400 is 4224021643.

The square root of 346120422400 is 588320.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 10796041216 + 335324381184 = 103904^2 + 579072^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (346120422409) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 94129362 + ... + 94133038.

Almost surely, 2^346120422400 is an apocalyptic number.

346120422400 is the 588320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 346120422400

346120422400 is an abundant number, since it is smaller than the sum of its proper divisors (512072489799).

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

346120422400 is an frugal number, since it uses more digits than its factorization.

346120422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7384 (or 3684 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The spelling of 346120422400 in words is "three hundred forty-six billion, one hundred twenty million, four hundred twenty-two thousand, four hundred".