3986742564 has 144 divisors (see below), whose sum is σ = 12572851200. Its totient is φ = 1079083296.

The previous prime is 3986742553. The next prime is 3986742589. The reversal of 3986742564 is 4652476893.

3986742564 is a `hidden beast` number, since 3 + 9 + 8 + 6 + 74 + 2 + 564 = 666.

3986742564 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 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 3986742564.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113857 + ... + 144695.

Almost surely, 2^3986742564 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 3986742564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6286425600).

3986742564 is an abundant number, since it is smaller than the sum of its proper divisors (8586108636).

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

3986742564 is a wasteful number, since it uses less digits than its factorization.

3986742564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30884 (or 30870 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The square root of 3986742564 is about 63140.6569810609. The cubic root of 3986742564 is about 1585.6453718981.

The spelling of 3986742564 in words is "three billion, nine hundred eighty-six million, seven hundred forty-two thousand, five hundred sixty-four".