38948 has 24 divisors (see below), whose sum is σ = 84672. Its totient is φ = 15264.

The previous prime is 38933. The next prime is 38953. The reversal of 38948 is 84983.

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 311 + ... + 417.

It is an arithmetic number, because the mean of its divisors is an integer number (3528).

2³⁸⁹⁴⁸ 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 38948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42336).

38948 is an abundant number, since it is smaller than the sum of its proper divisors (45724).

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

38948 is a wasteful number, since it uses less digits than its factorization.

38948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 129 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The square root of 38948 is about 197.3524765489. The cubic root of 38948 is about 33.8970356756.

The spelling of 38948 in words is "thirty-eight thousand, nine hundred forty-eight".