32985601824 has 96 divisors (see below), whose sum is σ = 101631390336. Its totient is φ = 9169735680.

The previous prime is 32985601813. The next prime is 32985601837. The reversal of 32985601824 is 42810658923.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 638457 + ... + 688184.

It is an arithmetic number, because the mean of its divisors is an integer number (1058660316).

Almost surely, 2^32985601824 is an apocalyptic number.

It is an amenable number.

32985601824 is an abundant number, since it is smaller than the sum of its proper divisors (68645788512).

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

32985601824 is a wasteful number, since it uses less digits than its factorization.

32985601824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326698 (or 1326690 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 32985601824 in words is "thirty-two billion, nine hundred eighty-five million, six hundred one thousand, eight hundred twenty-four".