3686960 has 40 divisors (see below), whose sum is σ = 9079776. Its totient is φ = 1387520.

The previous prime is 3686957. The next prime is 3686971. The reversal of 3686960 is 696863.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×3686960³ (a number of 21 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5 + ... + 2715.

Almost surely, 2^3686960 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 3686960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4539888).

3686960 is an abundant number, since it is smaller than the sum of its proper divisors (5392816).

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

3686960 is a wasteful number, since it uses less digits than its factorization.

3686960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2741 (or 2735 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 3686960 is about 1920.1458277954. The cubic root of 3686960 is about 154.4861233928.

The spelling of 3686960 in words is "three million, six hundred eighty-six thousand, nine hundred sixty".