3825463572 has 288 divisors, whose sum is σ = 12166640640. Its totient is φ = 1017956160.

The previous prime is 3825463571. The next prime is 3825463589. The reversal of 3825463572 is 2753645283.

3825463572 is a `hidden beast` number, since 3 + 8 + 2 + 5 + 4 + 635 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3825463571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29201947 + ... + 29202077.

It is an arithmetic number, because the mean of its divisors is an integer number (42245280).

Almost surely, 2^3825463572 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 3825463572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6083320320).

3825463572 is an abundant number, since it is smaller than the sum of its proper divisors (8341177068).

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

3825463572 is a wasteful number, since it uses less digits than its factorization.

3825463572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 269 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The square root of 3825463572 is about 61850.3320282115. The cubic root of 3825463572 is about 1563.9685789612.

The spelling of 3825463572 in words is "three billion, eight hundred twenty-five million, four hundred sixty-three thousand, five hundred seventy-two".