3686540 has 48 divisors (see below), whose sum is σ = 9102240. Its totient is φ = 1236480.

The previous prime is 3686537. The next prime is 3686549. The reversal of 3686540 is 456863.

3686540 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3686497 and 3686506.

It is not an unprimeable number, because it can be changed into a prime (3686549) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2216 + ... + 3504.

It is an arithmetic number, because the mean of its divisors is an integer number (189630).

Almost surely, 2^3686540 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 3686540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4551120).

3686540 is an abundant number, since it is smaller than the sum of its proper divisors (5415700).

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

3686540 is a wasteful number, since it uses less digits than its factorization.

3686540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 3686540 is about 1920.0364579872. The cubic root of 3686540 is about 154.4802570751.

The spelling of 3686540 in words is "three million, six hundred eighty-six thousand, five hundred forty".