3688643 has 16 divisors (see below), whose sum is σ = 4515840. Its totient is φ = 2941056.

The previous prime is 3688637. The next prime is 3688649. The reversal of 3688643 is 3468863.

It is an interprime number because it is at equal distance from previous prime (3688637) and next prime (3688649).

It is a cyclic number.

It is not a de Polignac number, because 3688643 - 2⁴ = 3688627 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3688597 and 3688606.

It is not an unprimeable number, because it can be changed into a prime (3688649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16430 + ... + 16652.

It is an arithmetic number, because the mean of its divisors is an integer number (282240).

Almost surely, 2^3688643 is an apocalyptic number.

3688643 is a deficient number, since it is larger than the sum of its proper divisors (827197).

3688643 is a wasteful number, since it uses less digits than its factorization.

3688643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386.

The product of its digits is 82944, while the sum is 38.

The square root of 3688643 is about 1920.5840257588. The cubic root of 3688643 is about 154.5096260973.

The spelling of 3688643 in words is "three million, six hundred eighty-eight thousand, six hundred forty-three".