3686976 has 84 divisors (see below), whose sum is σ = 10916412. Its totient is φ = 1188864.

The previous prime is 3686971. The next prime is 3686983. The reversal of 3686976 is 6796863.

It can be written as a sum of positive squares in 2 ways, for example, as 3326976 + 360000 = 1824^2 + 600^2 .

It is not an unprimeable number, because it can be changed into a prime (3686971) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21226 + ... + 21398.

Almost surely, 2^3686976 is an apocalyptic number.

3686976 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 3686976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5458206).

3686976 is an abundant number, since it is smaller than the sum of its proper divisors (7229436).

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

3686976 is a wasteful number, since it uses less digits than its factorization.

3686976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 215 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 3686976 is about 1920.1499941411. The cubic root of 3686976 is about 154.4863468628.

The spelling of 3686976 in words is "three million, six hundred eighty-six thousand, nine hundred seventy-six".