32400430304 has 96 divisors (see below), whose sum is σ = 70819660800. Its totient is φ = 14467875840.

The previous prime is 32400430289. The next prime is 32400430357. The reversal of 32400430304 is 40303400423.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 32400430304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9644177 + ... + 9647535.

It is an arithmetic number, because the mean of its divisors is an integer number (737704800).

Almost surely, 2^32400430304 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 32400430304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35409830400).

32400430304 is an abundant number, since it is smaller than the sum of its proper divisors (38419230496).

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

32400430304 is a wasteful number, since it uses less digits than its factorization.

32400430304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3856 (or 3848 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

Adding to 32400430304 its reverse (40303400423), we get a palindrome (72703830727).

The spelling of 32400430304 in words is "thirty-two billion, four hundred million, four hundred thirty thousand, three hundred four".