38349 has 6 divisors (see below), whose sum is σ = 55406. Its totient is φ = 25560.

The previous prime is 38333. The next prime is 38351. The reversal of 38349 is 94383.

It can be written as a sum of positive squares in only one way, i.e., 38025 + 324 = 195^2 + 18^2 .

It is not a de Polignac number, because 38349 - 2⁴ = 38333 is a prime.

It is a d-powerful number, because it can be written as 3³ + 8⁵ + 3⁶ + 4⁶ + 9³ .

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a plaindrome in base 13.

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 38349.

It is not an unprimeable number, because it can be changed into a prime (38329) 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, 2122 + ... + 2139.

2³⁸³⁴⁹ is an apocalyptic number.

It is an amenable number.

38349 is a deficient number, since it is larger than the sum of its proper divisors (17057).

38349 is a wasteful number, since it uses less digits than its factorization.

38349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4267 (or 4264 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 38349 is about 195.8290070444. The cubic root of 38349 is about 33.7223642082.

The spelling of 38349 in words is "thirty-eight thousand, three hundred forty-nine".