3829312032 has 192 divisors, whose sum is σ = 12432559104. Its totient is φ = 1004958720.

The previous prime is 3829312009. The next prime is 3829312057. The reversal of 3829312032 is 2302139283.

It is a junction number, because it is equal to n+sod(n) for n = 3829311984 and 3829312002.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1982107 + ... + 1984037.

It is an arithmetic number, because the mean of its divisors is an integer number (64752912).

Almost surely, 2^3829312032 is an apocalyptic number.

3829312032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3829312032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6216279552).

3829312032 is an abundant number, since it is smaller than the sum of its proper divisors (8603247072).

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

3829312032 is a wasteful number, since it uses less digits than its factorization.

3829312032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2191 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 3829312032 is about 61881.4352774724. The cubic root of 3829312032 is about 1564.4928599344.

The spelling of 3829312032 in words is "three billion, eight hundred twenty-nine million, three hundred twelve thousand, thirty-two".