364742361 has 24 divisors (see below), whose sum is σ = 561945384. Its totient is φ = 227174400.

The previous prime is 364742359. The next prime is 364742377. The reversal of 364742361 is 163247463.

It is a happy number.

364742361 is a `hidden beast` number, since 3 + 647 + 4 + 2 + 3 + 6 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 126225225 + 238517136 = 11235^2 + 15444^2 .

It is not a de Polignac number, because 364742361 - 2¹ = 364742359 is a prime.

It is not an unprimeable number, because it can be changed into a prime (364742341) 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 23 ways as a sum of consecutive naturals, for example, 12261 + ... + 29661.

It is an arithmetic number, because the mean of its divisors is an integer number (23414391).

Almost surely, 2^364742361 is an apocalyptic number.

It is an amenable number.

364742361 is a deficient number, since it is larger than the sum of its proper divisors (197203023).

364742361 is a wasteful number, since it uses less digits than its factorization.

364742361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17561 (or 17558 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 364742361 is about 19098.2292634684. The cubic root of 364742361 is about 714.4887609859.

The spelling of 364742361 in words is "three hundred sixty-four million, seven hundred forty-two thousand, three hundred sixty-one".