3686135952 has 80 divisors (see below), whose sum is σ = 9834773312. Its totient is φ = 1188794880.

The previous prime is 3686135939. The next prime is 3686135969. The reversal of 3686135952 is 2595316863.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 315723 + ... + 327189.

Almost surely, 2^3686135952 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 3686135952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4917386656).

3686135952 is an abundant number, since it is smaller than the sum of its proper divisors (6148637360).

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

3686135952 is a wasteful number, since it uses less digits than its factorization.

3686135952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11696 (or 11690 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 48.

The square root of 3686135952 is about 60713.5565751176. The cubic root of 3686135952 is about 1544.7461314529.

The spelling of 3686135952 in words is "three billion, six hundred eighty-six million, one hundred thirty-five thousand, nine hundred fifty-two".