32331230400 has 336 divisors, whose sum is σ = 121531221504. Its totient is φ = 7371448320.

The previous prime is 32331230383. The next prime is 32331230401. The reversal of 32331230400 is 403213323.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (32331230401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16899844 + ... + 16901756.

It is an arithmetic number, because the mean of its divisors is an integer number (361700064).

Almost surely, 2^32331230400 is an apocalyptic number.

32331230400 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 32331230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60765610752).

32331230400 is an abundant number, since it is smaller than the sum of its proper divisors (89199991104).

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

32331230400 is a wasteful number, since it uses less digits than its factorization.

32331230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2448 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 32331230400 its reverse (403213323), we get a palindrome (32734443723).

The spelling of 32331230400 in words is "thirty-two billion, three hundred thirty-one million, two hundred thirty thousand, four hundred".