3825525024 has 120 divisors (see below), whose sum is σ = 11638948860. Its totient is φ = 1231179264.

The previous prime is 3825525019. The next prime is 3825525031. The reversal of 3825525024 is 4205255283.

It is a happy number.

3825525024 is a `hidden beast` number, since 3 + 82 + 552 + 5 + 0 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3338528400 + 486996624 = 57780^2 + 22068^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3825525024.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49722 + ... + 100614.

Almost surely, 2^3825525024 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 3825525024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5819474430).

3825525024 is an abundant number, since it is smaller than the sum of its proper divisors (7813423836).

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

3825525024 is a wasteful number, since it uses less digits than its factorization.

3825525024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50944 (or 50927 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 3825525024 is about 61850.8288060880. The cubic root of 3825525024 is about 1563.9769534131.

The spelling of 3825525024 in words is "three billion, eight hundred twenty-five million, five hundred twenty-five thousand, twenty-four".