3928343328 has 720 divisors, whose sum is σ = 15415807680. Its totient is φ = 938843136.

The previous prime is 3928343311. The next prime is 3928343329. The reversal of 3928343328 is 8233438293.

3928343328 is a `hidden beast` number, since 3 + 9 + 283 + 43 + 328 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3928343329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 170797525 + ... + 170797547.

It is an arithmetic number, because the mean of its divisors is an integer number (21410844).

Almost surely, 2^3928343328 is an apocalyptic number.

3928343328 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 3928343328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7707903840).

3928343328 is an abundant number, since it is smaller than the sum of its proper divisors (11487464352).

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

3928343328 is a wasteful number, since it uses less digits than its factorization.

3928343328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 67 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 3928343328 is about 62676.4974133048. The cubic root of 3928343328 is about 1577.8648893751.

The spelling of 3928343328 in words is "three billion, nine hundred twenty-eight million, three hundred forty-three thousand, three hundred twenty-eight".