3832824996 has 576 divisors, whose sum is σ = 13901561856. Its totient is φ = 858470400.

The previous prime is 3832824953. The next prime is 3832825013. The reversal of 3832824996 is 6994282383.

It is a happy number.

Its product of digits (4478976) is a multiple of the sum of its prime factors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 52504416 + ... + 52504488.

It is an arithmetic number, because the mean of its divisors is an integer number (24134656).

Almost surely, 2^3832824996 is an apocalyptic number.

3832824996 is a gapful number since it is divisible by the number (36) 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 3832824996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6950780928).

3832824996 is an abundant number, since it is smaller than the sum of its proper divisors (10068736860).

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

3832824996 is a wasteful number, since it uses less digits than its factorization.

3832824996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 187 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 3832824996 is about 61909.8134062767. The cubic root of 3832824996 is about 1564.9711292466.

It can be divided in two parts, 3832 and 824996, that added together give a palindrome (828828).

The spelling of 3832824996 in words is "three billion, eight hundred thirty-two million, eight hundred twenty-four thousand, nine hundred ninety-six".