3909961916168 has 256 divisors, whose sum is σ = 9859221504000. Its totient is φ = 1407861561600.

The previous prime is 3909961916143. The next prime is 3909961916173. The reversal of 3909961916168 is 8616191699093.

3909961916168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3909961916098 and 3909961916107.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90438605 + ... + 90481827.

It is an arithmetic number, because the mean of its divisors is an integer number (38512584000).

Almost surely, 2^{3909961916168} is an apocalyptic number.

3909961916168 is a gapful number since it is divisible by the number (38) 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 3909961916168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4929610752000).

3909961916168 is an abundant number, since it is smaller than the sum of its proper divisors (5949259587832).

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

3909961916168 is a wasteful number, since it uses less digits than its factorization.

3909961916168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43456 (or 43452 counting only the distinct ones).

The product of its (nonzero) digits is 34012224, while the sum is 68.

The spelling of 3909961916168 in words is "three trillion, nine hundred nine billion, nine hundred sixty-one million, nine hundred sixteen thousand, one hundred sixty-eight".