323965872400 has 135 divisors (see below), whose sum is σ = 787710772303. Its totient is φ = 128042732800.

The previous prime is 323965872383. The next prime is 323965872409. The reversal of 323965872400 is 4278569323.

The square root of 323965872400 is 569180.

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 96688658704 + 227277213696 = 310948^2 + 476736^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (323965872409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1696156305 + ... + 1696156495.

Almost surely, 2^323965872400 is an apocalyptic number.

323965872400 is the 569180-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323965872400

323965872400 is an abundant number, since it is smaller than the sum of its proper divisors (463744899903).

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

323965872400 is an equidigital number, since it uses as much as digits as its factorization.

323965872400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 49.

Multiplying 323965872400 by its sum of digits (49), we get a square (15874327747600 = 3984260²).

The spelling of 323965872400 in words is "three hundred twenty-three billion, nine hundred sixty-five million, eight hundred seventy-two thousand, four hundred".