3936688 has 20 divisors (see below), whose sum is σ = 8717200. Its totient is φ = 1687104.

The previous prime is 3936683. The next prime is 3936727. The reversal of 3936688 is 8866393.

It is not an unprimeable number, because it can be changed into a prime (3936683) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17463 + ... + 17686.

It is an arithmetic number, because the mean of its divisors is an integer number (435860).

Almost surely, 2^3936688 is an apocalyptic number.

It is an amenable number.

3936688 is an abundant number, since it is smaller than the sum of its proper divisors (4780512).

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

3936688 is a wasteful number, since it uses less digits than its factorization.

3936688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35164 (or 35158 counting only the distinct ones).

The product of its digits is 186624, while the sum is 43.

The square root of 3936688 is about 1984.1088679808. The cubic root of 3936688 is about 157.8981344142.

It can be divided in two parts, 3936 and 688, that added together give a square (4624 = 68²).

The spelling of 3936688 in words is "three million, nine hundred thirty-six thousand, six hundred eighty-eight".