3971968 has 128 divisors (see below), whose sum is σ = 10967040. Its totient is φ = 1382400.

The previous prime is 3971963. The next prime is 3971977. The reversal of 3971968 is 8691793.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3971963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128113 + ... + 128143.

It is an arithmetic number, because the mean of its divisors is an integer number (85680).

Almost surely, 2^3971968 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 3971968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5483520).

3971968 is an abundant number, since it is smaller than the sum of its proper divisors (6995072).

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

3971968 is a wasteful number, since it uses less digits than its factorization.

3971968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 64 counting only the distinct ones).

The product of its digits is 81648, while the sum is 43.

The square root of 3971968 is about 1992.9796787725. The cubic root of 3971968 is about 158.3684186945.

The spelling of 3971968 in words is "three million, nine hundred seventy-one thousand, nine hundred sixty-eight".