3815944224768 has 448 divisors, whose sum is σ = 12326556093600. Its totient is φ = 1174136684544.

The previous prime is 3815944224727. The next prime is 3815944224769. The reversal of 3815944224768 is 8674224495183.

3815944224768 is a `hidden beast` number, since 3 + 8 + 159 + 4 + 4 + 2 + 2 + 476 + 8 = 666.

It is a super-2 number, since 2×3815944224768² (a number of 26 digits) contains 22 as substring.

Its product of digits (92897280) is a multiple of the sum of its prime divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3815944224769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 293534171130 + ... + 293534171142.

Almost surely, 2^{3815944224768} 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 3815944224768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6163278046800).

3815944224768 is an abundant number, since it is smaller than the sum of its proper divisors (8510611868832).

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

3815944224768 is an frugal number, since it uses more digits than its factorization.

3815944224768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 18 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 63.

The spelling of 3815944224768 in words is "three trillion, eight hundred fifteen billion, nine hundred forty-four million, two hundred twenty-four thousand, seven hundred sixty-eight".