3991123584 has 384 divisors, whose sum is σ = 14239036800. Its totient is φ = 1077940224.

The previous prime is 3991123573. The next prime is 3991123597. The reversal of 3991123584 is 4853211993.

It is a happy number.

3991123584 is a `hidden beast` number, since 39 + 9 + 11 + 23 + 584 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3991123584² = 31858134925522010112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8733084 + ... + 8733540.

It is an arithmetic number, because the mean of its divisors is an integer number (37080825).

Almost surely, 2^3991123584 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 3991123584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7119518400).

3991123584 is an abundant number, since it is smaller than the sum of its proper divisors (10247913216).

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

3991123584 is a wasteful number, since it uses less digits than its factorization.

3991123584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 488 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 3991123584 is about 63175.3399990851. The cubic root of 3991123584 is about 1586.2259796619.

The spelling of 3991123584 in words is "three billion, nine hundred ninety-one million, one hundred twenty-three thousand, five hundred eighty-four".