4004384 has 36 divisors (see below), whose sum is σ = 8393994. Its totient is φ = 1880064.

The previous prime is 4004359. The next prime is 4004387. The reversal of 4004384 is 4834004.

It can be written as a sum of positive squares in 3 ways, for example, as 3610000 + 394384 = 1900^2 + 628^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004387) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9032 + ... + 9464.

Almost surely, 2^4004384 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 4004384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4196997).

4004384 is an abundant number, since it is smaller than the sum of its proper divisors (4389610).

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

4004384 is a wasteful number, since it uses less digits than its factorization.

4004384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 4004384 is about 2001.0956998605. The cubic root of 4004384 is about 158.7980770747.

Adding to 4004384 its reverse (4834004), we get a palindrome (8838388).

The spelling of 4004384 in words is "four million, four thousand, three hundred eighty-four".