38404 has 6 divisors (see below), whose sum is σ = 67214. Its totient is φ = 19200.

The previous prime is 38393. The next prime is 38431. The reversal of 38404 is 40483.

It can be written as a sum of positive squares in only one way, i.e., 36100 + 2304 = 190^2 + 48^2 .

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4797 + ... + 4804.

2³⁸⁴⁰⁴ is an apocalyptic number.

It is an amenable number.

38404 is a deficient number, since it is larger than the sum of its proper divisors (28810).

38404 is a wasteful number, since it uses less digits than its factorization.

38404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9605 (or 9603 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 38404 is about 195.9693853641. The cubic root of 38404 is about 33.7384780057.

Adding to 38404 its reverse (40483), we get a palindrome (78887).

It can be divided in two parts, 3840 and 4, that added together give a square (3844 = 62²).

The spelling of 38404 in words is "thirty-eight thousand, four hundred four".