3960105168 has 80 divisors (see below), whose sum is σ = 10705235456. Its totient is φ = 1259919360.

The previous prime is 3960105161. The next prime is 3960105187. The reversal of 3960105168 is 8615010693.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3960105161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90396 + ... + 126852.

Almost surely, 2^3960105168 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 3960105168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5352617728).

3960105168 is an abundant number, since it is smaller than the sum of its proper divisors (6745130288).

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

3960105168 is a wasteful number, since it uses less digits than its factorization.

3960105168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36572 (or 36566 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 3960105168 is about 62929.3664992744. The cubic root of 3960105168 is about 1582.1059840783.

The spelling of 3960105168 in words is "three billion, nine hundred sixty million, one hundred five thousand, one hundred sixty-eight".