3973871808 has 168 divisors, whose sum is σ = 11701759680. Its totient is φ = 1288765440.

The previous prime is 3973871807. The next prime is 3973871809. The reversal of 3973871808 is 8081783793.

3973871808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3973871807) and next prime (3973871809).

It is not an unprimeable number, because it can be changed into a prime (3973871801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6199168 + ... + 6199808.

Almost surely, 2^3973871808 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 3973871808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5850879840).

3973871808 is an abundant number, since it is smaller than the sum of its proper divisors (7727887872).

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

3973871808 is a wasteful number, since it uses less digits than its factorization.

3973871808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 3973871808 is about 63038.6532851075. The cubic root of 3973871808 is about 1583.9371722861.

The spelling of 3973871808 in words is "three billion, nine hundred seventy-three million, eight hundred seventy-one thousand, eight hundred eight".