329407123600 has 45 divisors (see below), whose sum is σ = 791428193227. Its totient is φ = 131758257920.

The previous prime is 329407123561. The next prime is 329407123603. The reversal of 329407123600 is 6321704923.

The square root of 329407123600 is 573940.

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 115608160144 + 213798963456 = 340012^2 + 462384^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 329407123600.

It is not an unprimeable number, because it can be changed into a prime (329407123603) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11464452 + ... + 11493148.

Almost surely, 2^329407123600 is an apocalyptic number.

329407123600 is the 573940-th square number.

It is an amenable number.

329407123600 is an abundant number, since it is smaller than the sum of its proper divisors (462021069627).

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

329407123600 is an frugal number, since it uses more digits than its factorization.

329407123600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57412 (or 28704 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The spelling of 329407123600 in words is "three hundred twenty-nine billion, four hundred seven million, one hundred twenty-three thousand, six hundred".