3832448256 has 432 divisors, whose sum is σ = 14124399744. Its totient is φ = 1009262592.

The previous prime is 3832448251. The next prime is 3832448273. The reversal of 3832448256 is 6528442383.

3832448256 is a `hidden beast` number, since 38 + 324 + 48 + 256 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3832448251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5660590 + ... + 5661266.

Almost surely, 2^3832448256 is an apocalyptic number.

3832448256 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 3832448256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7062199872).

3832448256 is an abundant number, since it is smaller than the sum of its proper divisors (10291951488).

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

3832448256 is an equidigital number, since it uses as much as digits as its factorization.

3832448256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 702 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The square root of 3832448256 is about 61906.7706797891. The cubic root of 3832448256 is about 1564.9198523127.

The spelling of 3832448256 in words is "three billion, eight hundred thirty-two million, four hundred forty-eight thousand, two hundred fifty-six".