3985648128 has 480 divisors, whose sum is σ = 14707630080. Its totient is φ = 1008967680.

The previous prime is 3985648097. The next prime is 3985648151. The reversal of 3985648128 is 8218465893.

3985648128 is a `hidden beast` number, since 3 + 98 + 56 + 481 + 28 = 666.

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, 16676233 + ... + 16676471.

It is an arithmetic number, because the mean of its divisors is an integer number (30640896).

Almost surely, 2^3985648128 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 3985648128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7353815040).

3985648128 is an abundant number, since it is smaller than the sum of its proper divisors (10721981952).

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

3985648128 is a wasteful number, since it uses less digits than its factorization.

3985648128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 309 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 3985648128 is about 63131.9897357908. The cubic root of 3985648128 is about 1585.5002621021.

The spelling of 3985648128 in words is "three billion, nine hundred eighty-five million, six hundred forty-eight thousand, one hundred twenty-eight".