3732896 has 48 divisors (see below), whose sum is σ = 7838208. Its totient is φ = 1747200.

The previous prime is 3732887. The next prime is 3732899. The reversal of 3732896 is 6982373.

3732896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3732899) 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 7 ways as a sum of consecutive naturals, for example, 52541 + ... + 52611.

It is an arithmetic number, because the mean of its divisors is an integer number (163296).

Almost surely, 2^3732896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3732896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3919104).

3732896 is an abundant number, since it is smaller than the sum of its proper divisors (4105312).

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

3732896 is a wasteful number, since it uses less digits than its factorization.

3732896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 157 counting only the distinct ones).

The product of its digits is 54432, while the sum is 38.

The square root of 3732896 is about 1932.0703920924. The cubic root of 3732896 is about 155.1250603594.

The spelling of 3732896 in words is "three million, seven hundred thirty-two thousand, eight hundred ninety-six".