3842111232 has 360 divisors, whose sum is σ = 12188126720. Its totient is φ = 1201858560.

The previous prime is 3842111227. The next prime is 3842111261. The reversal of 3842111232 is 2321112483.

3842111232 is a `hidden beast` number, since 3 + 8 + 421 + 1 + 1 + 232 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3842111196 and 3842111205.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 27641019 + ... + 27641157.

Almost surely, 2^3842111232 is an apocalyptic number.

3842111232 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 3842111232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6094063360).

3842111232 is an abundant number, since it is smaller than the sum of its proper divisors (8346015488).

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

3842111232 is a wasteful number, since it uses less digits than its factorization.

3842111232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 218 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 3842111232 is about 61984.7661284610. The cubic root of 3842111232 is about 1566.2339897859.

The spelling of 3842111232 in words is "three billion, eight hundred forty-two million, one hundred eleven thousand, two hundred thirty-two".