3688507 has 6 divisors (see below), whose sum is σ = 3918548. Its totient is φ = 3471264.

The previous prime is 3688501. The next prime is 3688511. The reversal of 3688507 is 7058863.

It is not a de Polignac number, because 3688507 - 2¹⁵ = 3655739 is a prime.

It is a super-3 number, since 3×3688507³ (a number of 21 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3688501) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6093 + ... + 6670.

Almost surely, 2^3688507 is an apocalyptic number.

3688507 is a deficient number, since it is larger than the sum of its proper divisors (230041).

3688507 is a wasteful number, since it uses less digits than its factorization.

3688507 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12797 (or 12780 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 3688507 is about 1920.5486195356. The cubic root of 3688507 is about 154.5077271544.

The spelling of 3688507 in words is "three million, six hundred eighty-eight thousand, five hundred seven".