3688272 has 60 divisors (see below), whose sum is σ = 11799840. Its totient is φ = 1053504.

The previous prime is 3688247. The next prime is 3688277. The reversal of 3688272 is 2728863.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3688277) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 822 + ... + 2837.

It is an arithmetic number, because the mean of its divisors is an integer number (196664).

Almost surely, 2^3688272 is an apocalyptic number.

It is an amenable number.

3688272 is an abundant number, since it is smaller than the sum of its proper divisors (8111568).

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

3688272 is a wasteful number, since it uses less digits than its factorization.

3688272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3680 (or 3671 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 3688272 is about 1920.4874381261. The cubic root of 3688272 is about 154.5044457828.

The spelling of 3688272 in words is "three million, six hundred eighty-eight thousand, two hundred seventy-two".