3841181688960 has 3840 divisors, whose sum is σ = 18720819532800. Its totient is φ = 740344872960.

The previous prime is 3841181688941. The next prime is 3841181688989. The reversal of 3841181688960 is 698861811483.

3841181688960 is a `hidden beast` number, since 3 + 8 + 411 + 81 + 6 + 8 + 89 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 479 ways as a sum of consecutive naturals, for example, 27634400571 + ... + 27634400709.

It is an arithmetic number, because the mean of its divisors is an integer number (4875213420).

Almost surely, 2^{3841181688960} is an apocalyptic number.

3841181688960 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 3841181688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9360409766400).

3841181688960 is an abundant number, since it is smaller than the sum of its proper divisors (14879637843840).

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

3841181688960 is a wasteful number, since it uses less digits than its factorization.

3841181688960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 63.

The spelling of 3841181688960 in words is "three trillion, eight hundred forty-one billion, one hundred eighty-one million, six hundred eighty-eight thousand, nine hundred sixty".