3884791680 has 768 divisors, whose sum is σ = 17643225600. Its totient is φ = 763084800.

The previous prime is 3884791663. The next prime is 3884791681. The reversal of 3884791680 is 861974883.

3884791680 is a `hidden beast` number, since 3 + 8 + 8 + 479 + 168 + 0 = 666.

3884791680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3884791681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8426650 + ... + 8427110.

It is an arithmetic number, because the mean of its divisors is an integer number (22972950).

Almost surely, 2^3884791680 is an apocalyptic number.

3884791680 is a gapful number since it is divisible by the number (30) 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 3884791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8821612800).

3884791680 is an abundant number, since it is smaller than the sum of its proper divisors (13758433920).

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

3884791680 is a wasteful number, since it uses less digits than its factorization.

3884791680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 3884791680 is about 62328.0970349649. The cubic root of 3884791680 is about 1572.0121981067.

The spelling of 3884791680 in words is "three billion, eight hundred eighty-four million, seven hundred ninety-one thousand, six hundred eighty".