3832416 has 72 divisors (see below), whose sum is σ = 12461904. Its totient is φ = 1094400.

The previous prime is 3832403. The next prime is 3832417. The reversal of 3832416 is 6142383.

It is a happy number.

3832416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3832416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3832417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1066 + ... + 2966.

It is an arithmetic number, because the mean of its divisors is an integer number (173082).

Almost surely, 2^3832416 is an apocalyptic number.

3832416 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 3832416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6230952).

3832416 is an abundant number, since it is smaller than the sum of its proper divisors (8629488).

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

3832416 is a wasteful number, since it uses less digits than its factorization.

3832416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924 (or 1913 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 3832416 is about 1957.6557409310. The cubic root of 3832416 is about 156.4915461891.

Adding to 3832416 its reverse (6142383), we get a palindrome (9974799).

The spelling of 3832416 in words is "three million, eight hundred thirty-two thousand, four hundred sixteen".