3825128448 has 220 divisors, whose sum is σ = 11556084672. Its totient is φ = 1260195840.

The previous prime is 3825128441. The next prime is 3825128491. The reversal of 3825128448 is 8448215283.

3825128448 is a `hidden beast` number, since 3 + 82 + 5 + 128 + 448 = 666.

3825128448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3825128448³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3825128441) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8874793 + ... + 8875223.

Almost surely, 2^3825128448 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 3825128448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5778042336).

3825128448 is an abundant number, since it is smaller than the sum of its proper divisors (7730956224).

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

3825128448 is a wasteful number, since it uses less digits than its factorization.

3825128448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 543 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The square root of 3825128448 is about 61847.6228160792. The cubic root of 3825128448 is about 1563.9229079201.

The spelling of 3825128448 in words is "three billion, eight hundred twenty-five million, one hundred twenty-eight thousand, four hundred forty-eight".