3682728 has 48 divisors (see below), whose sum is σ = 11400480. Its totient is φ = 1052064.

The previous prime is 3682709. The next prime is 3682729. The reversal of 3682728 is 8272863.

It is a happy number.

3682728 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 3682692 and 3682701.

It is not an unprimeable number, because it can be changed into a prime (3682729) 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, 3150 + ... + 4157.

It is an arithmetic number, because the mean of its divisors is an integer number (237510).

Almost surely, 2^3682728 is an apocalyptic number.

It is an amenable number.

3682728 is an abundant number, since it is smaller than the sum of its proper divisors (7717752).

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

3682728 is a wasteful number, since it uses less digits than its factorization.

3682728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7326 (or 7319 counting only the distinct ones).

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

The square root of 3682728 is about 1919.0435117527. The cubic root of 3682728 is about 154.4269928735.

The spelling of 3682728 in words is "three million, six hundred eighty-two thousand, seven hundred twenty-eight".