3668123375120 has 20 divisors (see below), whose sum is σ = 8528386847340. Its totient is φ = 1467249350016.

The previous prime is 3668123375083. The next prime is 3668123375129. The reversal of 3668123375120 is 215733218663.

It can be written as a sum of positive squares in 2 ways, for example, as 599404220944 + 3068719154176 = 774212^2 + 1751776^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (3668123375129) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 22925771015 + ... + 22925771174.

It is an arithmetic number, because the mean of its divisors is an integer number (426419342367).

Almost surely, 2^{3668123375120} is an apocalyptic number.

It is an amenable number.

3668123375120 is an abundant number, since it is smaller than the sum of its proper divisors (4860263472220).

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

3668123375120 is a wasteful number, since it uses less digits than its factorization.

3668123375120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45851542202 (or 45851542196 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 47.

The spelling of 3668123375120 in words is "three trillion, six hundred sixty-eight billion, one hundred twenty-three million, three hundred seventy-five thousand, one hundred twenty".