3828384 has 120 divisors (see below), whose sum is σ = 12928608. Its totient is φ = 1088640.

The previous prime is 3828379. The next prime is 3828389. The reversal of 3828384 is 4838283.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3828379) and next prime (3828389).

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 (3828389) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18039 + ... + 18249.

Almost surely, 2^3828384 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 3828384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6464304).

3828384 is an abundant number, since it is smaller than the sum of its proper divisors (9100224).

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

3828384 is a wasteful number, since it uses less digits than its factorization.

3828384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 223 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 3828384 is about 1956.6256668050. The cubic root of 3828384 is about 156.4366465016.

The spelling of 3828384 in words is "three million, eight hundred twenty-eight thousand, three hundred eighty-four".