38148 has 36 divisors (see below), whose sum is σ = 103152. Its totient is φ = 10880.

The previous prime is 38119. The next prime is 38149. The reversal of 38148 is 84183.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38148.

It is not an unprimeable number, because it can be changed into a prime (38149) by changing a digit.

38148 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 in 11 ways as a sum of consecutive naturals, for example, 2236 + ... + 2252.

2³⁸¹⁴⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51576).

38148 is an abundant number, since it is smaller than the sum of its proper divisors (65004).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38148 is a wasteful number, since it uses less digits than its factorization.

38148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 33 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 38148 is about 195.3151299823. The cubic root of 38148 is about 33.6633442244.

The spelling of 38148 in words is "thirty-eight thousand, one hundred forty-eight".