38448 has 40 divisors (see below), whose sum is σ = 111600. Its totient is φ = 12672.

The previous prime is 38447. The next prime is 38449. The reversal of 38448 is 84483.

It is an interprime number because it is at equal distance from previous prime (38447) and next prime (38449).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 13.

It is a nialpdrome in base 16.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (38447) 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, 388 + ... + 476.

It is an arithmetic number, because the mean of its divisors is an integer number (2790).

2³⁸⁴⁴⁸ 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 38448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55800).

38448 is an abundant number, since it is smaller than the sum of its proper divisors (73152).

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

38448 is a wasteful number, since it uses less digits than its factorization.

38448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 94 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 38448 is about 196.0816156604. The cubic root of 38448 is about 33.7513579701.

The spelling of 38448 in words is "thirty-eight thousand, four hundred forty-eight".