3882384 has 160 divisors (see below), whose sum is σ = 13094400. Its totient is φ = 1088640.

The previous prime is 3882383. The next prime is 3882397. The reversal of 3882384 is 4832883.

It is a happy number.

It is a super-3 number, since 3×3882384³ (a number of 21 digits) contains 333 as substring.

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 zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (3882383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90267 + ... + 90309.

It is an arithmetic number, because the mean of its divisors is an integer number (81840).

Almost surely, 2^3882384 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 3882384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6547200).

3882384 is an abundant number, since it is smaller than the sum of its proper divisors (9212016).

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

3882384 is a wasteful number, since it uses less digits than its factorization.

3882384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 78 counting only the distinct ones).

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

The square root of 3882384 is about 1970.3766137467. The cubic root of 3882384 is about 157.1687368632.

It can be divided in two parts, 388 and 2384, that added together give a palindrome (2772).

The spelling of 3882384 in words is "three million, eight hundred eighty-two thousand, three hundred eighty-four".