38409 has 16 divisors (see below), whose sum is σ = 61440. Its totient is φ = 20880.

The previous prime is 38393. The next prime is 38431. The reversal of 38409 is 90483.

It is not a de Polignac number, because 38409 - 2⁴ = 38393 is a prime.

It is a Curzon number.

38409 is a lucky number.

It is a nialpdrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38409.

It is not an unprimeable number, because it can be changed into a prime (38449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 622 + ... + 680.

It is an arithmetic number, because the mean of its divisors is an integer number (3840).

2³⁸⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

38409 is a deficient number, since it is larger than the sum of its proper divisors (23031).

38409 is a wasteful number, since it uses less digits than its factorization.

38409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 38409 is about 195.9821420436. The cubic root of 38409 is about 33.7399421333.

The spelling of 38409 in words is "thirty-eight thousand, four hundred nine".