32320003200 has 384 divisors, whose sum is σ = 115109448000. Its totient is φ = 7942717440.

The previous prime is 32320003189. The next prime is 32320003229. The reversal of 32320003200 is 230002323.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 32320003200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6746406 + ... + 6751194.

Almost surely, 2^32320003200 is an apocalyptic number.

32320003200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32320003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57554724000).

32320003200 is an abundant number, since it is smaller than the sum of its proper divisors (82789444800).

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

32320003200 is a wasteful number, since it uses less digits than its factorization.

32320003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4872 (or 4855 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

Adding to 32320003200 its reverse (230002323), we get a palindrome (32550005523).

The spelling of 32320003200 in words is "thirty-two billion, three hundred twenty million, three thousand, two hundred".