3688328 has 36 divisors (see below), whose sum is σ = 8128485. Its totient is φ = 1564416.

The previous prime is 3688313. The next prime is 3688331. The reversal of 3688328 is 8238863.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 3678724 + 9604 = 1918^2 + 98^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1358.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3688291 and 3688300.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 37976 + ... + 38072.

Almost surely, 2^3688328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3688328

3688328 is an abundant number, since it is smaller than the sum of its proper divisors (4440157).

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

3688328 is an equidigital number, since it uses as much as digits as its factorization.

3688328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 106 counting only the distinct ones).

The product of its digits is 55296, while the sum is 38.

The square root of 3688328 is about 1920.5020177027. The cubic root of 3688328 is about 154.5052277393.

The spelling of 3688328 in words is "three million, six hundred eighty-eight thousand, three hundred twenty-eight".