3822825024 has 112 divisors (see below), whose sum is σ = 11295888000. Its totient is φ = 1267757568.

The previous prime is 3822824989. The next prime is 3822825031. The reversal of 3822825024 is 4205282283.

3822825024 is a `hidden beast` number, since 382 + 2 + 8 + 250 + 24 = 666.

It is a super-2 number, since 2×3822825024² = 29227982328241201152, which contains 22 as substring.

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 3822825024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338314 + ... + 349430.

Almost surely, 2^3822825024 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 3822825024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5647944000).

3822825024 is an abundant number, since it is smaller than the sum of its proper divisors (7473062976).

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

3822825024 is a wasteful number, since it uses less digits than its factorization.

3822825024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11337 (or 11321 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 3822825024 is about 61828.9982451600. The cubic root of 3822825024 is about 1563.6089227431.

The spelling of 3822825024 in words is "three billion, eight hundred twenty-two million, eight hundred twenty-five thousand, twenty-four".