3187968875 has 128 divisors (see below), whose sum is σ = 5132574720. Its totient is φ = 1923609600.

The previous prime is 3187968857. The next prime is 3187968907. The reversal of 3187968875 is 5788697813.

3187968875 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3187968875 - 2¹⁰ = 3187967851 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35819831 + ... + 35819919.

It is an arithmetic number, because the mean of its divisors is an integer number (40098240).

Almost surely, 2^3187968875 is an apocalyptic number.

3187968875 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3187968875 is a deficient number, since it is larger than the sum of its proper divisors (1944605845).

3187968875 is a wasteful number, since it uses less digits than its factorization.

3187968875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 228 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 62.

The square root of 3187968875 is about 56462.1012272834. The cubic root of 3187968875 is about 1471.7634866525.

The spelling of 3187968875 in words is "three billion, one hundred eighty-seven million, nine hundred sixty-eight thousand, eight hundred seventy-five".