3968871348 has 96 divisors (see below), whose sum is σ = 10333596672. Its totient is φ = 1177344000.

The previous prime is 3968871311. The next prime is 3968871397. The reversal of 3968871348 is 8431788693.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1415548 + ... + 1418348.

It is an arithmetic number, because the mean of its divisors is an integer number (107641632).

Almost surely, 2^3968871348 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 3968871348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5166798336).

3968871348 is an abundant number, since it is smaller than the sum of its proper divisors (6364725324).

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

3968871348 is a wasteful number, since it uses less digits than its factorization.

3968871348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3145 (or 3143 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 57.

The square root of 3968871348 is about 62998.9789441067. The cubic root of 3968871348 is about 1583.2725191588.

The spelling of 3968871348 in words is "three billion, nine hundred sixty-eight million, eight hundred seventy-one thousand, three hundred forty-eight".