3824713728 has 320 divisors, whose sum is σ = 12560700240. Its totient is φ = 1150156800.

The previous prime is 3824713687. The next prime is 3824713751. The reversal of 3824713728 is 8273174283.

3824713728 is a `hidden beast` number, since 38 + 247 + 1 + 372 + 8 = 666.

Its product of digits (451584) is a multiple of the sum of its prime divisors (147).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29196223 + ... + 29196353.

Almost surely, 2^3824713728 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 3824713728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6280350120).

3824713728 is an abundant number, since it is smaller than the sum of its proper divisors (8735986512).

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

3824713728 is an equidigital number, since it uses as much as digits as its factorization.

3824713728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 147 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 3824713728 is about 61844.2699690117. The cubic root of 3824713728 is about 1563.8663857615.

The spelling of 3824713728 in words is "three billion, eight hundred twenty-four million, seven hundred thirteen thousand, seven hundred twenty-eight".