3948 has 24 divisors (see below), whose sum is σ = 10752. Its totient is φ = 1104.

The previous prime is 3947. The next prime is 3967. The reversal of 3948 is 8493.

It is a d-powerful number, because it can be written as 3⁷ + 4⁵ + 9³ + 8 .

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3943) 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, 61 + ... + 107.

It is an arithmetic number, because the mean of its divisors is an integer number (448).

2³⁹⁴⁸ 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 3948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5376).

3948 is an abundant number, since it is smaller than the sum of its proper divisors (6804).

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

3948 is a wasteful number, since it uses less digits than its factorization.

3948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 59 counting only the distinct ones).

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

The square root of 3948 is about 62.8331122896. The cubic root of 3948 is about 15.8049228905.

The spelling of 3948 in words is "three thousand, nine hundred forty-eight".