3948144 has 40 divisors (see below), whose sum is σ = 10332672. Its totient is φ = 1298880.

The previous prime is 3948137. The next prime is 3948149. The reversal of 3948144 is 4418493.

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3948149) 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, 3489 + ... + 4479.

Almost surely, 2^3948144 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 3948144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5166336).

3948144 is an abundant number, since it is smaller than the sum of its proper divisors (6384528).

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

3948144 is a wasteful number, since it uses less digits than its factorization.

3948144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1079 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 3948144 is about 1986.9937090993. The cubic root of 3948144 is about 158.0511504527.

The spelling of 3948144 in words is "three million, nine hundred forty-eight thousand, one hundred forty-four".