3968928 has 36 divisors (see below), whose sum is σ = 11287458. Its totient is φ = 1322880.

The previous prime is 3968917. The next prime is 3968941. The reversal of 3968928 is 8298693.

3968928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3283344 + 685584 = 1812^2 + 828^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6603 + ... + 7178.

Almost surely, 2^3968928 is an apocalyptic number.

It is an amenable number.

3968928 is an abundant number, since it is smaller than the sum of its proper divisors (7318530).

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

3968928 is a wasteful number, since it uses less digits than its factorization.

3968928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13797 (or 13786 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 3968928 is about 1992.2168556661. The cubic root of 3968928 is about 158.3280052378.

It can be divided in two parts, 396892 and 8, that added together give a square (396900 = 630²).

The spelling of 3968928 in words is "three million, nine hundred sixty-eight thousand, nine hundred twenty-eight".