32313984000 has 704 divisors, whose sum is σ = 116901058560. Its totient is φ = 7896268800.

The previous prime is 32313983969. The next prime is 32313984007. The reversal of 32313984000 is 48931323.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (32313984007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 313727949 + ... + 313728051.

It is an arithmetic number, because the mean of its divisors is an integer number (166052640).

Almost surely, 2^32313984000 is an apocalyptic number.

32313984000 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 32313984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58450529280).

32313984000 is an abundant number, since it is smaller than the sum of its proper divisors (84587074560).

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

32313984000 is a wasteful number, since it uses less digits than its factorization.

32313984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 32313984000 in words is "thirty-two billion, three hundred thirteen million, nine hundred eighty-four thousand".