3982387968 has 216 divisors, whose sum is σ = 12767314560. Its totient is φ = 1185546240.

The previous prime is 3982387949. The next prime is 3982388017. The reversal of 3982387968 is 8697832893.

3982387968 is a `hidden beast` number, since 398 + 238 + 7 + 9 + 6 + 8 = 666.

3982387968 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 926368 + ... + 930656.

Almost surely, 2^3982387968 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 3982387968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6383657280).

3982387968 is an abundant number, since it is smaller than the sum of its proper divisors (8784926592).

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

3982387968 is a wasteful number, since it uses less digits than its factorization.

3982387968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4355 (or 4338 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The square root of 3982387968 is about 63106.1642630892. The cubic root of 3982387968 is about 1585.0678443893.

The spelling of 3982387968 in words is "three billion, nine hundred eighty-two million, three hundred eighty-seven thousand, nine hundred sixty-eight".