3686656896 has 256 divisors, whose sum is σ = 12100300800. Its totient is φ = 1097349120.

The previous prime is 3686656891. The next prime is 3686656903. The reversal of 3686656896 is 6986566863.

3686656896 is a `hidden beast` number, since 3 + 6 + 8 + 66 + 568 + 9 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3686656891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1391445 + ... + 1394091.

It is an arithmetic number, because the mean of its divisors is an integer number (47266800).

Almost surely, 2^3686656896 is an apocalyptic number.

3686656896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3686656896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6050150400).

3686656896 is an abundant number, since it is smaller than the sum of its proper divisors (8413643904).

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

3686656896 is a wasteful number, since it uses less digits than its factorization.

3686656896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2714 (or 2696 counting only the distinct ones).

The product of its digits is 67184640, while the sum is 63.

The square root of 3686656896 is about 60717.8466021317. The cubic root of 3686656896 is about 1544.8188985576.

The spelling of 3686656896 in words is "three billion, six hundred eighty-six million, six hundred fifty-six thousand, eight hundred ninety-six".