3888476928 has 540 divisors, whose sum is σ = 13956493320. Its totient is φ = 1072963584.

The previous prime is 3888476873. The next prime is 3888476959. The reversal of 3888476928 is 8296748883.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

Its product of digits (37158912) is a multiple of the sum of its prime divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 43690708 + ... + 43690796.

It is an arithmetic number, because the mean of its divisors is an integer number (25845358).

Almost surely, 2^3888476928 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 3888476928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6978246660).

3888476928 is an abundant number, since it is smaller than the sum of its proper divisors (10068016392).

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

3888476928 is an equidigital number, since it uses as much as digits as its factorization.

3888476928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 144 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 63.

The square root of 3888476928 is about 62357.6533233893. The cubic root of 3888476928 is about 1572.5091294187.

The spelling of 3888476928 in words is "three billion, eight hundred eighty-eight million, four hundred seventy-six thousand, nine hundred twenty-eight".