363660345 has 48 divisors (see below), whose sum is σ = 678452112. Its totient is φ = 179527680.

The previous prime is 363660317. The next prime is 363660347. The reversal of 363660345 is 543066363.

It is a happy number.

363660345 is a `hidden beast` number, since 3 + 6 + 3 + 6 + 603 + 45 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2812329 + 360848016 = 1677^2 + 18996^2 .

It is not a de Polignac number, because 363660345 - 2⁷ = 363660217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (363660347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42769 + ... + 50561.

It is an arithmetic number, because the mean of its divisors is an integer number (14134419).

Almost surely, 2^363660345 is an apocalyptic number.

It is an amenable number.

363660345 is a deficient number, since it is larger than the sum of its proper divisors (314791767).

363660345 is a wasteful number, since it uses less digits than its factorization.

363660345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7882 (or 7879 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The square root of 363660345 is about 19069.8805712044. The cubic root of 363660345 is about 713.7815458140.

The spelling of 363660345 in words is "three hundred sixty-three million, six hundred sixty thousand, three hundred forty-five".