3586856364 has 384 divisors, whose sum is σ = 12070338560. Its totient is φ = 895795200.

The previous prime is 3586856359. The next prime is 3586856369. The reversal of 3586856364 is 4636586853.

It is a happy number.

3586856364 is a `hidden beast` number, since 3 + 586 + 8 + 56 + 3 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3586856359) and next prime (3586856369).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3586856364.

It is not an unprimeable number, because it can be changed into a prime (3586856369) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 18584652 + ... + 18584844.

Almost surely, 2^3586856364 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 3586856364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6035169280).

3586856364 is an abundant number, since it is smaller than the sum of its proper divisors (8483482196).

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

3586856364 is a wasteful number, since it uses less digits than its factorization.

3586856364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 310 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 54.

The square root of 3586856364 is about 59890.3695430242. The cubic root of 3586856364 is about 1530.7513879471.

The spelling of 3586856364 in words is "three billion, five hundred eighty-six million, eight hundred fifty-six thousand, three hundred sixty-four".