329682672400 has 135 divisors (see below), whose sum is σ = 836497811253. Its totient is φ = 124849699200.

The previous prime is 329682672373. The next prime is 329682672401. The reversal of 329682672400 is 4276286923.

The square root of 329682672400 is 574180.

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

It can be written as a sum of positive squares in only one way, i.e., 118685762064 + 210996910336 = 344508^2 + 459344^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (329682672401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 218187645 + ... + 218189155.

Almost surely, 2^329682672400 is an apocalyptic number.

329682672400 is the 574180-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 329682672400

329682672400 is an abundant number, since it is smaller than the sum of its proper divisors (506815138853).

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

329682672400 is an equidigital number, since it uses as much as digits as its factorization.

329682672400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3078 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 49.

Multiplying 329682672400 by its sum of digits (49), we get a square (16154450947600 = 4019260²).

The spelling of 329682672400 in words is "three hundred twenty-nine billion, six hundred eighty-two million, six hundred seventy-two thousand, four hundred".