3829533984 has 96 divisors (see below), whose sum is σ = 11554704000. Its totient is φ = 1232485632.

The previous prime is 3829533979. The next prime is 3829533989. The reversal of 3829533984 is 4893359283.

It is a happy number.

3829533984 is a `hidden beast` number, since 3 + 8 + 29 + 533 + 9 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (3829533979) and next prime (3829533989).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3829533984² = 29330661069221824512, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3829533984.

It is not an unprimeable number, because it can be changed into a prime (3829533989) 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, 51364 + ... + 101475.

It is an arithmetic number, because the mean of its divisors is an integer number (120361500).

Almost surely, 2^3829533984 is an apocalyptic number.

It is an amenable number.

3829533984 is an abundant number, since it is smaller than the sum of its proper divisors (7725170016).

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

3829533984 is a wasteful number, since it uses less digits than its factorization.

3829533984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152887 (or 152873 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 3829533984 is about 61883.2286164838. The cubic root of 3829533984 is about 1564.5230860436.

The spelling of 3829533984 in words is "three billion, eight hundred twenty-nine million, five hundred thirty-three thousand, nine hundred eighty-four".