3585145824 has 216 divisors, whose sum is σ = 11193338520. Its totient is φ = 1081990656.

The previous prime is 3585145819. The next prime is 3585145843. The reversal of 3585145824 is 4285415853.

3585145824 is a `hidden beast` number, since 3 + 58 + 5 + 14 + 582 + 4 = 666.

Its product of digits (768000) is a multiple of the sum of its prime divisors (240).

It is a self number, because there is not a number n which added to its sum of digits gives 3585145824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25792347 + ... + 25792485.

Almost surely, 2^3585145824 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 3585145824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5596669260).

3585145824 is an abundant number, since it is smaller than the sum of its proper divisors (7608192696).

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

3585145824 is a wasteful number, since it uses less digits than its factorization.

3585145824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 240 counting only the distinct ones).

The product of its digits is 768000, while the sum is 45.

The square root of 3585145824 is about 59876.0872469135. The cubic root of 3585145824 is about 1530.5080153336.

The spelling of 3585145824 in words is "three billion, five hundred eighty-five million, one hundred forty-five thousand, eight hundred twenty-four".