3979664 has 60 divisors (see below), whose sum is σ = 8929116. Its totient is φ = 1707264.

The previous prime is 3979663. The next prime is 3979669. The reversal of 3979664 is 4669793.

3979664 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 2 ways, for example, as 1669264 + 2310400 = 1292^2 + 1520^2 .

Its product of digits (244944) is a multiple of the sum of its prime factors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3979663) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 75062 + ... + 75114.

Almost surely, 2^3979664 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 3979664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4464558).

3979664 is an abundant number, since it is smaller than the sum of its proper divisors (4949452).

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

3979664 is a wasteful number, since it uses less digits than its factorization.

3979664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 87 counting only the distinct ones).

The product of its digits is 244944, while the sum is 44.

The square root of 3979664 is about 1994.9095217578. The cubic root of 3979664 is about 158.4706364549.

The spelling of 3979664 in words is "three million, nine hundred seventy-nine thousand, six hundred sixty-four".