3831504768 has 640 divisors, whose sum is σ = 14597130240. Its totient is φ = 970444800.

The previous prime is 3831504767. The next prime is 3831504797. The reversal of 3831504768 is 8674051383.

3831504768 is a `hidden beast` number, since 3 + 83 + 1 + 504 + 7 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3831504763) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29248063 + ... + 29248193.

It is an arithmetic number, because the mean of its divisors is an integer number (22808016).

Almost surely, 2^3831504768 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 3831504768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7298565120).

3831504768 is an abundant number, since it is smaller than the sum of its proper divisors (10765625472).

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

3831504768 is a wasteful number, since it uses less digits than its factorization.

3831504768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 3831504768 is about 61899.1499780086. The cubic root of 3831504768 is about 1564.7914222873.

The spelling of 3831504768 in words is "three billion, eight hundred thirty-one million, five hundred four thousand, seven hundred sixty-eight".