3589682656 has 96 divisors (see below), whose sum is σ = 8311742208. Its totient is φ = 1494097920.

The previous prime is 3589682641. The next prime is 3589682737. The reversal of 3589682656 is 6562869853.

It is a self number, because there is not a number n which added to its sum of digits gives 3589682656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1858011 + ... + 1859941.

It is an arithmetic number, because the mean of its divisors is an integer number (86580648).

Almost surely, 2^3589682656 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 3589682656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4155871104).

3589682656 is an abundant number, since it is smaller than the sum of its proper divisors (4722059552).

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

3589682656 is a wasteful number, since it uses less digits than its factorization.

3589682656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2184 (or 2176 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 58.

The square root of 3589682656 is about 59913.9604432890. The cubic root of 3589682656 is about 1531.1533383025.

The spelling of 3589682656 in words is "three billion, five hundred eighty-nine million, six hundred eighty-two thousand, six hundred fifty-six".