3968186544 has 160 divisors (see below), whose sum is σ = 13320496640. Its totient is φ = 1107364608.

The previous prime is 3968186543. The next prime is 3968186561. The reversal of 3968186544 is 4456818693.

3968186544 is a `hidden beast` number, since 3 + 96 + 8 + 1 + 8 + 6 + 544 = 666.

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 (3968186543) 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, 114774 + ... + 145290.

It is an arithmetic number, because the mean of its divisors is an integer number (83253104).

Almost surely, 2^3968186544 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 3968186544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6660248320).

3968186544 is an abundant number, since it is smaller than the sum of its proper divisors (9352310096).

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

3968186544 is a wasteful number, since it uses less digits than its factorization.

3968186544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30584 (or 30572 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The square root of 3968186544 is about 62993.5436691730. The cubic root of 3968186544 is about 1583.1814526545.

The spelling of 3968186544 in words is "three billion, nine hundred sixty-eight million, one hundred eighty-six thousand, five hundred forty-four".