3585658923864 has 96 divisors (see below), whose sum is σ = 9970176762000. Its totient is φ = 1163470479360.

The previous prime is 3585658923859. The next prime is 3585658923887. The reversal of 3585658923864 is 4683298565853.

3585658923864 is a `hidden beast` number, since 3 + 5 + 8 + 5 + 6 + 589 + 2 + 38 + 6 + 4 = 666.

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 = 3585658923792 and 3585658923801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27174 + ... + 2678069.

Almost surely, 2^{3585658923864} 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 3585658923864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4985088381000).

3585658923864 is an abundant number, since it is smaller than the sum of its proper divisors (6384517838136).

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

3585658923864 is a wasteful number, since it uses less digits than its factorization.

3585658923864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2705745 (or 2705738 counting only the distinct ones).

The product of its digits is 1492992000, while the sum is 72.

The spelling of 3585658923864 in words is "three trillion, five hundred eighty-five billion, six hundred fifty-eight million, nine hundred twenty-three thousand, eight hundred sixty-four".