3585165936 has 160 divisors (see below), whose sum is σ = 10884065280. Its totient is φ = 1005177600.

The previous prime is 3585165901. The next prime is 3585165937. The reversal of 3585165936 is 6395615853.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3585165937) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 427221 + ... + 435531.

It is an arithmetic number, because the mean of its divisors is an integer number (68025408).

Almost surely, 2^3585165936 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 3585165936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5442032640).

3585165936 is an abundant number, since it is smaller than the sum of its proper divisors (7298899344).

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

3585165936 is a wasteful number, since it uses less digits than its factorization.

3585165936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8395 (or 8389 counting only the distinct ones).

The product of its digits is 2916000, while the sum is 51.

The square root of 3585165936 is about 59876.2551935239. The cubic root of 3585165936 is about 1530.5108772832.

The spelling of 3585165936 in words is "three billion, five hundred eighty-five million, one hundred sixty-five thousand, nine hundred thirty-six".