3688863 has 16 divisors (see below), whose sum is σ = 5107200. Its totient is φ = 2366496.

The previous prime is 3688859. The next prime is 3688871.

3688863 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3688863 - 2² = 3688859 is a prime.

3688863 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3688063) 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, 18438 + ... + 18636.

It is an arithmetic number, because the mean of its divisors is an integer number (319200).

Almost surely, 2^3688863 is an apocalyptic number.

3688863 is a deficient number, since it is larger than the sum of its proper divisors (1418337).

3688863 is a wasteful number, since it uses less digits than its factorization.

3688863 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406.

The product of its digits is 165888, while the sum is 42.

The square root of 3688863 is about 1920.6412991498. The cubic root of 3688863 is about 154.5126978179.

The spelling of 3688863 in words is "three million, six hundred eighty-eight thousand, eight hundred sixty-three".