3968712 has 48 divisors (see below), whose sum is σ = 11728080. Its totient is φ = 1202400.

The previous prime is 3968669. The next prime is 3968717. The reversal of 3968712 is 2178693.

3968712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3968717) 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, 1714 + ... + 3297.

It is an arithmetic number, because the mean of its divisors is an integer number (244335).

Almost surely, 2^3968712 is an apocalyptic number.

It is an amenable number.

3968712 is an abundant number, since it is smaller than the sum of its proper divisors (7759368).

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

3968712 is a wasteful number, since it uses less digits than its factorization.

3968712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5034 (or 5027 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 3968712 is about 1992.1626439626. The cubic root of 3968712 is about 158.3251329702.

The spelling of 3968712 in words is "three million, nine hundred sixty-eight thousand, seven hundred twelve".