3816384 has 112 divisors (see below), whose sum is σ = 11948160. Its totient is φ = 1059840.

The previous prime is 3816383. The next prime is 3816389. The reversal of 3816384 is 4836183.

3816384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3816384³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3816383) 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, 27387 + ... + 27525.

It is an arithmetic number, because the mean of its divisors is an integer number (106680).

Almost surely, 2^3816384 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 3816384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5974080).

3816384 is an abundant number, since it is smaller than the sum of its proper divisors (8131776).

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

3816384 is a wasteful number, since it uses less digits than its factorization.

3816384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 168 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 3816384 is about 1953.5567562781. The cubic root of 3816384 is about 156.2730261532.

The spelling of 3816384 in words is "three million, eight hundred sixteen thousand, three hundred eighty-four".