3840384 has 64 divisors (see below), whose sum is σ = 10416240. Its totient is φ = 1253376.

The previous prime is 3840359. The next prime is 3840391. The reversal of 3840384 is 4830483.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27964 + ... + 28100.

Almost surely, 2^3840384 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 3840384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5208120).

3840384 is an abundant number, since it is smaller than the sum of its proper divisors (6575856).

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

3840384 is a wasteful number, since it uses less digits than its factorization.

3840384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 3840384 is about 1959.6897713669. The cubic root of 3840384 is about 156.5999252963.

Subtracting 3840384 from its reverse (4830483), we obtain a palindrome (990099).

It can be divided in two parts, 3840 and 384, that added together give a palindrome (4224).

The spelling of 3840384 in words is "three million, eight hundred forty thousand, three hundred eighty-four".