32945909824 has 28 divisors (see below), whose sum is σ = 67631424300. Its totient is φ = 15904921088.

The previous prime is 32945909791. The next prime is 32945909831. The reversal of 32945909824 is 42890954923.

It can be written as a sum of positive squares in 2 ways, for example, as 23829479424 + 9116430400 = 154368^2 + 95480^2 .

It is a super-2 number, since 2×32945909824² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 8873659 + ... + 8877370.

Almost surely, 2^32945909824 is an apocalyptic number.

It is an amenable number.

32945909824 is an abundant number, since it is smaller than the sum of its proper divisors (34685514476).

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

32945909824 is a wasteful number, since it uses less digits than its factorization.

32945909824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17751070 (or 17751060 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 55.

The spelling of 32945909824 in words is "thirty-two billion, nine hundred forty-five million, nine hundred nine thousand, eight hundred twenty-four".