32304124400 has 60 divisors (see below), whose sum is σ = 77736635400. Its totient is φ = 12900675840.

The previous prime is 32304124361. The next prime is 32304124403. The reversal of 32304124400 is 442140323.

It is a super-4 number, since 4×32304124400⁴ (a number of 43 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32304124403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 182366 + ... + 312834.

It is an arithmetic number, because the mean of its divisors is an integer number (1295610590).

Almost surely, 2^32304124400 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 32304124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38868317700).

32304124400 is an abundant number, since it is smaller than the sum of its proper divisors (45432511000).

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

32304124400 is a wasteful number, since it uses less digits than its factorization.

32304124400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131106 (or 131095 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 32304124400 its reverse (442140323), we get a palindrome (32746264723).

The spelling of 32304124400 in words is "thirty-two billion, three hundred four million, one hundred twenty-four thousand, four hundred".