3663828 has 108 divisors (see below), whose sum is σ = 11286912. Its totient is φ = 997920.

The previous prime is 3663811. The next prime is 3663833. The reversal of 3663828 is 8283663.

3663828 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3663828² = 26847271227168, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3663792 and 3663801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 54651 + ... + 54717.

Almost surely, 2^3663828 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 3663828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5643456).

3663828 is an abundant number, since it is smaller than the sum of its proper divisors (7623084).

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

3663828 is a wasteful number, since it uses less digits than its factorization.

3663828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 110 counting only the distinct ones).

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

The square root of 3663828 is about 1914.1128493378. The cubic root of 3663828 is about 154.1623631945.

The spelling of 3663828 in words is "three million, six hundred sixty-three thousand, eight hundred twenty-eight".