38399 has 8 divisors (see below), whose sum is σ = 42240. Its totient is φ = 34776.

The previous prime is 38393. The next prime is 38431. The reversal of 38399 is 99383.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 38399 - 2¹² = 34303 is a prime.

It is a Duffinian number.

It is a plaindrome in base 8.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38393) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 794 + ... + 840.

It is an arithmetic number, because the mean of its divisors is an integer number (5280).

2³⁸³⁹⁹ is an apocalyptic number.

38399 is a deficient number, since it is larger than the sum of its proper divisors (3841).

38399 is a wasteful number, since it uses less digits than its factorization.

38399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109.

The product of its digits is 5832, while the sum is 32.

The square root of 38399 is about 195.9566278542. The cubic root of 38399 is about 33.7370137510.

The spelling of 38399 in words is "thirty-eight thousand, three hundred ninety-nine".