3964928 has 48 divisors (see below), whose sum is σ = 8716155. Its totient is φ = 1802240.

The previous prime is 3964913. The next prime is 3964937. The reversal of 3964928 is 8294693.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 1982464 + 1982464 = 1408^2 + 1408^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1408.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 360443 + ... + 360453.

Almost surely, 2^3964928 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 3964928

3964928 is an abundant number, since it is smaller than the sum of its proper divisors (4751227).

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

3964928 is an frugal number, since it uses more digits than its factorization.

3964928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 13 counting only the distinct ones).

The product of its digits is 93312, while the sum is 41.

The square root of 3964928 is about 1991.2126958213. The cubic root of 3964928 is about 158.2747981840.

Multiplying 3964928 by its product of digits (93312), we get a square (369975361536 = 608256²).

The spelling of 3964928 in words is "three million, nine hundred sixty-four thousand, nine hundred twenty-eight".