3848383728 has 240 divisors, whose sum is σ = 13260698880. Its totient is φ = 1017225216.

The previous prime is 3848383703. The next prime is 3848383769. The reversal of 3848383728 is 8273838483.

3848383728 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3848383728³ (a number of 30 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 821200 + ... + 825872.

It is an arithmetic number, because the mean of its divisors is an integer number (55252912).

Almost surely, 2^3848383728 is an apocalyptic number.

3848383728 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3848383728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6630349440).

3848383728 is an abundant number, since it is smaller than the sum of its proper divisors (9412315152).

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

3848383728 is a wasteful number, since it uses less digits than its factorization.

3848383728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4756 (or 4747 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The square root of 3848383728 is about 62035.3425717953. The cubic root of 3848383728 is about 1567.0858526007.

The spelling of 3848383728 in words is "three billion, eight hundred forty-eight million, three hundred eighty-three thousand, seven hundred twenty-eight".