3968544 has 48 divisors (see below), whose sum is σ = 10590048. Its totient is φ = 1300992.

The previous prime is 3968543. The next prime is 3968551. The reversal of 3968544 is 4458693.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (3968543) 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, 6124 + ... + 6740.

It is an arithmetic number, because the mean of its divisors is an integer number (220626).

Almost surely, 2^3968544 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 3968544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5295024).

3968544 is an abundant number, since it is smaller than the sum of its proper divisors (6621504).

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

3968544 is a wasteful number, since it uses less digits than its factorization.

3968544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 689 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 3968544 is about 1992.1204782844. The cubic root of 3968544 is about 158.3228989122.

The spelling of 3968544 in words is "three million, nine hundred sixty-eight thousand, five hundred forty-four".