32320848400 has 135 divisors (see below), whose sum is σ = 79318377013. Its totient is φ = 12656512000.

The previous prime is 32320848383. The next prime is 32320848401. The reversal of 32320848400 is 484802323.

The square root of 32320848400 is 179780.

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

It can be written as a sum of positive squares in 13 ways, for example, as 12559236624 + 19761611776 = 112068^2 + 140576^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32320848401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 320008350 + ... + 320008450.

Almost surely, 2^32320848400 is an apocalyptic number.

32320848400 is the 179780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32320848400

32320848400 is an abundant number, since it is smaller than the sum of its proper divisors (46997528613).

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

32320848400 is an equidigital number, since it uses as much as digits as its factorization.

32320848400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The spelling of 32320848400 in words is "thirty-two billion, three hundred twenty million, eight hundred forty-eight thousand, four hundred".