3831516864 has 112 divisors (see below), whose sum is σ = 12873126400. Its totient is φ = 1094715648.

The previous prime is 3831516823. The next prime is 3831516869. The reversal of 3831516864 is 4686151383.

3831516864 is a `hidden beast` number, since 383 + 151 + 68 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (3831516869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146284 + ... + 170475.

Almost surely, 2^3831516864 is an apocalyptic number.

It is an amenable number.

3831516864 is an abundant number, since it is smaller than the sum of its proper divisors (9041609536).

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

3831516864 is a wasteful number, since it uses less digits than its factorization.

3831516864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316787 (or 316771 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 3831516864 is about 61899.2476852506. The cubic root of 3831516864 is about 1564.7930689595.

The spelling of 3831516864 in words is "three billion, eight hundred thirty-one million, five hundred sixteen thousand, eight hundred sixty-four".