3688640 has 28 divisors (see below), whose sum is σ = 8784336. Its totient is φ = 1475328.

The previous prime is 3688637. The next prime is 3688649. The reversal of 3688640 is 468863.

It is a self number, because there is not a number n which added to its sum of digits gives 3688640.

It is not an unprimeable number, because it can be changed into a prime (3688649) 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 3 ways as a sum of consecutive naturals, for example, 5444 + ... + 6083.

Almost surely, 2^3688640 is an apocalyptic number.

It is an amenable number.

3688640 is an abundant number, since it is smaller than the sum of its proper divisors (5095696).

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

3688640 is a wasteful number, since it uses less digits than its factorization.

3688640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11544 (or 11534 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 3688640 is about 1920.5832447462. The cubic root of 3688640 is about 154.5095842094.

The spelling of 3688640 in words is "three million, six hundred eighty-eight thousand, six hundred forty".