3872117168640 has 2160 divisors, whose sum is σ = 16692689037024. Its totient is φ = 826507100160.

The previous prime is 3872117168629. The next prime is 3872117168641. The reversal of 3872117168640 is 468617112783.

3872117168640 is a `hidden beast` number, since 387 + 211 + 7 + 1 + 6 + 8 + 6 + 40 = 666.

It is not an unprimeable number, because it can be changed into a prime (3872117168641) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 46652014039 + ... + 46652014121.

Almost surely, 2^{3872117168640} is an apocalyptic number.

3872117168640 is a gapful number since it is divisible by the number (30) 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 3872117168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8346344518512).

3872117168640 is an abundant number, since it is smaller than the sum of its proper divisors (12820571868384).

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

3872117168640 is a wasteful number, since it uses less digits than its factorization.

3872117168640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 3872117168640 in words is "three trillion, eight hundred seventy-two billion, one hundred seventeen million, one hundred sixty-eight thousand, six hundred forty".