3841788476160 has 576 divisors, whose sum is σ = 13829309262720. Its totient is φ = 1022400921600.

The previous prime is 3841788475999. The next prime is 3841788476161. The reversal of 3841788476160 is 616748871483.

3841788476160 is a `hidden beast` number, since 3 + 8 + 4 + 1 + 7 + 8 + 8 + 4 + 7 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (3841788476161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1794388690 + ... + 1794390830.

It is an arithmetic number, because the mean of its divisors is an integer number (24009217470).

Almost surely, 2^{3841788476160} is an apocalyptic number.

3841788476160 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 3841788476160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6914654631360).

3841788476160 is an abundant number, since it is smaller than the sum of its proper divisors (9987520786560).

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

3841788476160 is an frugal number, since it uses more digits than its factorization.

3841788476160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2824 (or 2792 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 3841788476160 in words is "three trillion, eight hundred forty-one billion, seven hundred eighty-eight million, four hundred seventy-six thousand, one hundred sixty".