3831763968 has 352 divisors, whose sum is σ = 12085488000. Its totient is φ = 1212309504.

The previous prime is 3831763967. The next prime is 3831764023. The reversal of 3831763968 is 8693671383.

3831763968 is a `hidden beast` number, since 3 + 83 + 176 + 396 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3831763967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64945123 + ... + 64945181.

Almost surely, 2^3831763968 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 3831763968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6042744000).

3831763968 is an abundant number, since it is smaller than the sum of its proper divisors (8253724032).

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

3831763968 is an frugal number, since it uses more digits than its factorization.

3831763968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 93 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 3831763968 is about 61901.2436708666. The cubic root of 3831763968 is about 1564.8267073615.

The spelling of 3831763968 in words is "three billion, eight hundred thirty-one million, seven hundred sixty-three thousand, nine hundred sixty-eight".