3958944 has 96 divisors (see below), whose sum is σ = 11902464. Its totient is φ = 1140480.

The previous prime is 3958937. The next prime is 3958949. The reversal of 3958944 is 4498593.

3958944 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 3958896 and 3958905.

It is not an unprimeable number, because it can be changed into a prime (3958949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24207 + ... + 24369.

It is an arithmetic number, because the mean of its divisors is an integer number (123984).

Almost surely, 2^3958944 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 3958944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5951232).

3958944 is an abundant number, since it is smaller than the sum of its proper divisors (7943520).

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

3958944 is a wasteful number, since it uses less digits than its factorization.

3958944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 202 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 3958944 is about 1989.7095265390. The cubic root of 3958944 is about 158.1951335793.

It can be divided in two parts, 395 and 8944, that added together give a palindrome (9339).

The spelling of 3958944 in words is "three million, nine hundred fifty-eight thousand, nine hundred forty-four".