32301000000 has 588 divisors, whose sum is σ = 120082916044. Its totient is φ = 8294400000.

The previous prime is 32300999987. The next prime is 32301000007. The reversal of 32301000000 is 10323.

It is a happy number.

It can be written as a sum of positive squares in 14 ways, for example, as 30711861504 + 1589138496 = 175248^2 + 39864^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32301000007) 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 83 ways as a sum of consecutive naturals, for example, 332999952 + ... + 333000048.

Almost surely, 2^32301000000 is an apocalyptic number.

32301000000 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 32301000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60041458022).

32301000000 is an abundant number, since it is smaller than the sum of its proper divisors (87781916044).

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

32301000000 is an frugal number, since it uses more digits than its factorization.

32301000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

Adding to 32301000000 its reverse (10323), we get a palindrome (32301010323).

The spelling of 32301000000 in words is "thirty-two billion, three hundred one million", and thus it is an aban number.