3585255778944 has 896 divisors, whose sum is σ = 13299833856000. Its totient is φ = 939039713280.

The previous prime is 3585255778921. The next prime is 3585255778981. The reversal of 3585255778944 is 4498775525853.

3585255778944 is a `hidden beast` number, since 3 + 5 + 8 + 5 + 2 + 5 + 577 + 8 + 9 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (1693440000) is a multiple of the sum of its prime factors (9408).

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 111 ways as a sum of consecutive naturals, for example, 384720717 + ... + 384730035.

Almost surely, 2^{3585255778944} 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 3585255778944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6649916928000).

3585255778944 is an abundant number, since it is smaller than the sum of its proper divisors (9714578077056).

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

3585255778944 is an equidigital number, since it uses as much as digits as its factorization.

3585255778944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9408 (or 9381 counting only the distinct ones).

The product of its digits is 1693440000, while the sum is 72.

The spelling of 3585255778944 in words is "three trillion, five hundred eighty-five billion, two hundred fifty-five million, seven hundred seventy-eight thousand, nine hundred forty-four".