32296402944 has 399 divisors, whose sum is σ = 104867361453. Its totient is φ = 9937354752.

The previous prime is 32296402909. The next prime is 32296402949. The reversal of 32296402944 is 44920469223.

The square root of 32296402944 is 179712.

It is a perfect power (a square), and thus also a powerful number.

32296402944 is a `hidden beast` number, since 32 + 296 + 40 + 294 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4777574400 + 27518828544 = 69120^2 + 165888^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 32296402944.

It is not an unprimeable number, because it can be changed into a prime (32296402949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 2484338682 + ... + 2484338694.

Almost surely, 2^32296402944 is an apocalyptic number.

32296402944 is the 179712-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32296402944

32296402944 is an abundant number, since it is smaller than the sum of its proper divisors (72570958509).

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

32296402944 is an frugal number, since it uses more digits than its factorization.

32296402944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

32296402944 divided by its product of nonzero digits (746496) gives a square (43264 = 208²).

The spelling of 32296402944 in words is "thirty-two billion, two hundred ninety-six million, four hundred two thousand, nine hundred forty-four".