3828168 has 64 divisors (see below), whose sum is σ = 10944000. Its totient is φ = 1238976.

The previous prime is 3828151. The next prime is 3828169. The reversal of 3828168 is 8618283.

3828168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 not an unprimeable number, because it can be changed into a prime (3828169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7753 + ... + 8231.

It is an arithmetic number, because the mean of its divisors is an integer number (171000).

Almost surely, 2^3828168 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 3828168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5472000).

3828168 is an abundant number, since it is smaller than the sum of its proper divisors (7115832).

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

3828168 is a wasteful number, since it uses less digits than its factorization.

3828168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 521 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 3828168 is about 1956.5704689584. The cubic root of 3828168 is about 156.4337043594.

The spelling of 3828168 in words is "three million, eight hundred twenty-eight thousand, one hundred sixty-eight".