3938485824 has 336 divisors, whose sum is σ = 14378757120. Its totient is φ = 1002516480.

The previous prime is 3938485807. The next prime is 3938485847. The reversal of 3938485824 is 4285848393.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 1518769 + ... + 1521359.

It is an arithmetic number, because the mean of its divisors is an integer number (42793920).

Almost surely, 2^3938485824 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 3938485824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7189378560).

3938485824 is an abundant number, since it is smaller than the sum of its proper divisors (10440271296).

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

3938485824 is a wasteful number, since it uses less digits than its factorization.

3938485824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2658 (or 2645 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The square root of 3938485824 is about 62757.3567320995. The cubic root of 3938485824 is about 1579.2216729441.

The spelling of 3938485824 in words is "three billion, nine hundred thirty-eight million, four hundred eighty-five thousand, eight hundred twenty-four".