3686834216 has 96 divisors (see below), whose sum is σ = 7908291720. Its totient is φ = 1600611840.

The previous prime is 3686834201. The next prime is 3686834269. The reversal of 3686834216 is 6124386863.

It can be written as a sum of positive squares in 4 ways, for example, as 3594482116 + 92352100 = 59954^2 + 9610^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3697430 + ... + 3698426.

Almost surely, 2^3686834216 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 3686834216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3954145860).

3686834216 is an abundant number, since it is smaller than the sum of its proper divisors (4221457504).

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

3686834216 is a wasteful number, since it uses less digits than its factorization.

3686834216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1080 counting only the distinct ones).

The product of its digits is 995328, while the sum is 47.

The square root of 3686834216 is about 60719.3067812866. The cubic root of 3686834216 is about 1544.8436656120.

The spelling of 3686834216 in words is "three billion, six hundred eighty-six million, eight hundred thirty-four thousand, two hundred sixteen".