3971684575408 has 80 divisors (see below), whose sum is σ = 8424016676640. Its totient is φ = 1799009740800.

The previous prime is 3971684575393. The next prime is 3971684575423. The reversal of 3971684575408 is 8045754861793.

3971684575408 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 (3971684575393) and next prime (3971684575423).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193532188 + ... + 193552708.

It is an arithmetic number, because the mean of its divisors is an integer number (105300208458).

Almost surely, 2^{3971684575408} 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 3971684575408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4212008338320).

3971684575408 is an abundant number, since it is smaller than the sum of its proper divisors (4452332101232).

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

3971684575408 is a wasteful number, since it uses less digits than its factorization.

3971684575408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24326 (or 24320 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 67.

The spelling of 3971684575408 in words is "three trillion, nine hundred seventy-one billion, six hundred eighty-four million, five hundred seventy-five thousand, four hundred eight".