3986972064 has 192 divisors, whose sum is σ = 12002256000. Its totient is φ = 1286977536.

The previous prime is 3986972021. The next prime is 3986972069. The reversal of 3986972064 is 4602796893.

It is a happy number.

3986972064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3986972064.

It is not an unprimeable number, because it can be changed into a prime (3986972069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3800212 + ... + 3801260.

It is an arithmetic number, because the mean of its divisors is an integer number (62511750).

Almost surely, 2^3986972064 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 3986972064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6001128000).

3986972064 is an abundant number, since it is smaller than the sum of its proper divisors (8015283936).

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

3986972064 is a wasteful number, since it uses less digits than its factorization.

3986972064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 3986972064 is about 63142.4743259242. The cubic root of 3986972064 is about 1585.6757976258.

The spelling of 3986972064 in words is "three billion, nine hundred eighty-six million, nine hundred seventy-two thousand, sixty-four".