381766365 has 112 divisors (see below), whose sum is σ = 746510256. Its totient is φ = 186624000.

The previous prime is 381766349. The next prime is 381766369. The reversal of 381766365 is 563667183.

381766365 is a `hidden beast` number, since 3 + 8 + 1 + 7 + 6 + 636 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1750329 + 380016036 = 1323^2 + 19494^2 .

It is not a de Polignac number, because 381766365 - 2⁴ = 381766349 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 381766365.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381766369) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3779815 + ... + 3779915.

Almost surely, 2^381766365 is an apocalyptic number.

It is an amenable number.

381766365 is a deficient number, since it is larger than the sum of its proper divisors (364743891).

381766365 is a wasteful number, since it uses less digits than its factorization.

381766365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 187 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 381766365 is about 19538.8424682733. The cubic root of 381766365 is about 725.4361956953.

The spelling of 381766365 in words is "three hundred eighty-one million, seven hundred sixty-six thousand, three hundred sixty-five".