3585981579264 has 1152 divisors, whose sum is σ = 12820218840000. Its totient is φ = 961375371264.

The previous prime is 3585981579203. The next prime is 3585981579277. The reversal of 3585981579264 is 4629751895853.

3585981579264 is a `hidden beast` number, since 3 + 5 + 8 + 598 + 1 + 5 + 7 + 9 + 26 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 3585981579192 and 3585981579201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18020007837 + ... + 18020008035.

Almost surely, 2^{3585981579264} 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 3585981579264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6410109420000).

3585981579264 is an abundant number, since it is smaller than the sum of its proper divisors (9234237260736).

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

3585981579264 is a wasteful number, since it uses less digits than its factorization.

3585981579264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 283 counting only the distinct ones).

The product of its digits is 653184000, while the sum is 72.

The spelling of 3585981579264 in words is "three trillion, five hundred eighty-five billion, nine hundred eighty-one million, five hundred seventy-nine thousand, two hundred sixty-four".