3829475232 has 240 divisors, whose sum is σ = 12934706400. Its totient is φ = 1099215360.

The previous prime is 3829475231. The next prime is 3829475339. The reversal of 3829475232 is 2325749283.

3829475232 is a `hidden beast` number, since 3 + 82 + 9 + 47 + 523 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (3829475231) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 538194 + ... + 545262.

It is an arithmetic number, because the mean of its divisors is an integer number (53894610).

Almost surely, 2^3829475232 is an apocalyptic number.

3829475232 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 3829475232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6467353200).

3829475232 is an abundant number, since it is smaller than the sum of its proper divisors (9105231168).

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

3829475232 is a wasteful number, since it uses less digits than its factorization.

3829475232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7121 (or 7104 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 3829475232 is about 61882.7539141561. The cubic root of 3829475232 is about 1564.5150851283.

It can be divided in two parts, 38294 and 75232, that added together give a triangular number (113526 = T₄₇₆).

The spelling of 3829475232 in words is "three billion, eight hundred twenty-nine million, four hundred seventy-five thousand, two hundred thirty-two".