32313332000 has 96 divisors (see below), whose sum is σ = 79928175600. Its totient is φ = 12838348800.

The previous prime is 32313331993. The next prime is 32313332003. The reversal of 32313332000 is 23331323.

It can be written as a sum of positive squares in 8 ways, for example, as 2285987344 + 30027344656 = 47812^2 + 173284^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (32313332003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 568892 + ... + 623108.

Almost surely, 2^32313332000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32313332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39964087800).

32313332000 is an abundant number, since it is smaller than the sum of its proper divisors (47614843600).

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

32313332000 is a wasteful number, since it uses less digits than its factorization.

32313332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54391 (or 54373 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 32313332000 its reverse (23331323), we get a palindrome (32336663323).

The spelling of 32313332000 in words is "thirty-two billion, three hundred thirteen million, three hundred thirty-two thousand".