3791127168 has 144 divisors (see below), whose sum is σ = 11406139290. Its totient is φ = 1208570880.

The previous prime is 3791127101. The next prime is 3791127181. The reversal of 3791127168 is 8617211973.

3791127168 is a `hidden beast` number, since 379 + 1 + 1 + 271 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3754257984 + 36869184 = 61272^2 + 6072^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 606298 + ... + 612518.

Almost surely, 2^3791127168 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 3791127168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5703069645).

3791127168 is an abundant number, since it is smaller than the sum of its proper divisors (7615012122).

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

3791127168 is a wasteful number, since it uses less digits than its factorization.

3791127168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6287 (or 6249 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The square root of 3791127168 is about 61572.1297991226. The cubic root of 3791127168 is about 1559.2752451950.

The spelling of 3791127168 in words is "three billion, seven hundred ninety-one million, one hundred twenty-seven thousand, one hundred sixty-eight".