38049 has 8 divisors (see below), whose sum is σ = 55392. Its totient is φ = 23040.

The previous prime is 38047. The next prime is 38053. The reversal of 38049 is 94083.

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

It is not a de Polignac number, because 38049 - 2¹ = 38047 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38047) 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, 544 + ... + 609.

It is an arithmetic number, because the mean of its divisors is an integer number (6924).

2³⁸⁰⁴⁹ is an apocalyptic number.

It is an amenable number.

38049 is a deficient number, since it is larger than the sum of its proper divisors (17343).

38049 is a wasteful number, since it uses less digits than its factorization.

38049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167.

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

The square root of 38049 is about 195.0615287544. The cubic root of 38049 is about 33.6341984573.

Subtracting from 38049 its sum of digits (24), we obtain a square (38025 = 195²).

The spelling of 38049 in words is "thirty-eight thousand, forty-nine".