3768377140800 has 126 divisors (see below), whose sum is σ = 13393702165298. Its totient is φ = 1004900567040.

The previous prime is 3768377140663. The next prime is 3768377140819. The reversal of 3768377140800 is 80417738673.

3768377140800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 81608491584 + 3686768649216 = 285672^2 + 1920096^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 130832029 + ... + 130860828.

Almost surely, 2^{3768377140800} is an apocalyptic number.

3768377140800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3768377140800 is an abundant number, since it is smaller than the sum of its proper divisors (9625325024498).

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

3768377140800 is a wasteful number, since it uses less digits than its factorization.

3768377140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261692885 (or 261692867 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 3768377140800 in words is "three trillion, seven hundred sixty-eight billion, three hundred seventy-seven million, one hundred forty thousand, eight hundred".