3668328 has 112 divisors (see below), whose sum is σ = 11214180. Its totient is φ = 1119744.

The previous prime is 3668299. The next prime is 3668359. The reversal of 3668328 is 8238663.

It can be written as a sum of positive squares in 2 ways, for example, as 3175524 + 492804 = 1782^2 + 702^2 .

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 junction number, because it is equal to n+sod(n) for n = 3668292 and 3668301.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 99126 + ... + 99162.

Almost surely, 2^3668328 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 3668328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5607090).

3668328 is an abundant number, since it is smaller than the sum of its proper divisors (7545852).

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

3668328 is a wasteful number, since it uses less digits than its factorization.

3668328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 59 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 3668328 is about 1915.2879679046. The cubic root of 3668328 is about 154.2254526563.

The spelling of 3668328 in words is "three million, six hundred sixty-eight thousand, three hundred twenty-eight".