3960706508136 has 288 divisors, whose sum is σ = 12613497179400. Its totient is φ = 1119404482560.

The previous prime is 3960706508131. The next prime is 3960706508159. The reversal of 3960706508136 is 6318056070693.

3960706508136 is a `hidden beast` number, since 3 + 9 + 60 + 70 + 6 + 508 + 1 + 3 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3140359675236 + 820346832900 = 1772106^2 + 905730^2 .

It is not an unprimeable number, because it can be changed into a prime (3960706508131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 207694410 + ... + 207713478.

Almost surely, 2^{3960706508136} is an apocalyptic number.

3960706508136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3960706508136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6306748589700).

3960706508136 is an abundant number, since it is smaller than the sum of its proper divisors (8652790671264).

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

3960706508136 is a wasteful number, since it uses less digits than its factorization.

3960706508136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19729 (or 19715 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 3960706508136 in words is "three trillion, nine hundred sixty billion, seven hundred six million, five hundred eight thousand, one hundred thirty-six".