3871968 has 48 divisors (see below), whose sum is σ = 10369296. Its totient is φ = 1264640.

The previous prime is 3871961. The next prime is 3871969. The reversal of 3871968 is 8691783.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3871961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4708 + ... + 5468.

It is an arithmetic number, because the mean of its divisors is an integer number (216027).

Almost surely, 2^3871968 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 3871968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5184648).

3871968 is an abundant number, since it is smaller than the sum of its proper divisors (6497328).

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

3871968 is a wasteful number, since it uses less digits than its factorization.

3871968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 819 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The square root of 3871968 is about 1967.7316890267. The cubic root of 3871968 is about 157.0280556242.

The spelling of 3871968 in words is "three million, eight hundred seventy-one thousand, nine hundred sixty-eight".