3684384 has 72 divisors (see below), whose sum is σ = 11439792. Its totient is φ = 1115520.

The previous prime is 3684371. The next prime is 3684389. The reversal of 3684384 is 4834863.

It is a tau number, because it is divible by the number of its divisors (72).

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 (3684389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2587 + ... + 3749.

It is an arithmetic number, because the mean of its divisors is an integer number (158886).

Almost surely, 2^3684384 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 3684384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5719896).

3684384 is an abundant number, since it is smaller than the sum of its proper divisors (7755408).

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

3684384 is a wasteful number, since it uses less digits than its factorization.

3684384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1179 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 3684384 is about 1919.4749282030. The cubic root of 3684384 is about 154.4501362949.

The spelling of 3684384 in words is "three million, six hundred eighty-four thousand, three hundred eighty-four".