3928661568 has 336 divisors, whose sum is σ = 12914254080. Its totient is φ = 1163704320.

The previous prime is 3928661567. The next prime is 3928661599. The reversal of 3928661568 is 8651668293.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3928661567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64404258 + ... + 64404318.

It is an arithmetic number, because the mean of its divisors is an integer number (38435280).

Almost surely, 2^3928661568 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 3928661568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6457127040).

3928661568 is an abundant number, since it is smaller than the sum of its proper divisors (8985592512).

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

3928661568 is a wasteful number, since it uses less digits than its factorization.

3928661568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 126 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 3928661568 is about 62679.0361125632. The cubic root of 3928661568 is about 1577.9074964931.

The spelling of 3928661568 in words is "three billion, nine hundred twenty-eight million, six hundred sixty-one thousand, five hundred sixty-eight".