3967875971 has 8 divisors (see below), whose sum is σ = 4090176000. Its totient is φ = 3847154248.

The previous prime is 3967875953. The next prime is 3967875979. The reversal of 3967875971 is 1795787693.

3967875971 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3967875971 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3967875979) 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, 389471 + ... + 399528.

It is an arithmetic number, because the mean of its divisors is an integer number (511272000).

Almost surely, 2^3967875971 is an apocalyptic number.

3967875971 is a deficient number, since it is larger than the sum of its proper divisors (122300029).

3967875971 is a wasteful number, since it uses less digits than its factorization.

3967875971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789153.

The product of its digits is 20003760, while the sum is 62.

The square root of 3967875971 is about 62991.0785032293. The cubic root of 3967875971 is about 1583.1401486284.

The spelling of 3967875971 in words is "three billion, nine hundred sixty-seven million, eight hundred seventy-five thousand, nine hundred seventy-one".