3686485632 has 256 divisors, whose sum is σ = 11090027520. Its totient is φ = 1078640640.

The previous prime is 3686485601. The next prime is 3686485657. The reversal of 3686485632 is 2365846863.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6455907 + ... + 6456477.

It is an arithmetic number, because the mean of its divisors is an integer number (43320420).

Almost surely, 2^3686485632 is an apocalyptic number.

3686485632 is a gapful number since it is divisible by the number (32) 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 3686485632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5545013760).

3686485632 is an abundant number, since it is smaller than the sum of its proper divisors (7403541888).

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

3686485632 is a wasteful number, since it uses less digits than its factorization.

3686485632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 659 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 51.

The square root of 3686485632 is about 60716.4362590559. The cubic root of 3686485632 is about 1544.7949766171.

The spelling of 3686485632 in words is "three billion, six hundred eighty-six million, four hundred eighty-five thousand, six hundred thirty-two".