363138320 has 40 divisors (see below), whose sum is σ = 845272536. Its totient is φ = 145087488.

The previous prime is 363138301. The next prime is 363138323. The reversal of 363138320 is 23831363.

It can be written as a sum of positive squares in 4 ways, for example, as 35093776 + 328044544 = 5924^2 + 18112^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (363138323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85364 + ... + 89516.

Almost surely, 2^363138320 is an apocalyptic number.

It is an amenable number.

363138320 is an abundant number, since it is smaller than the sum of its proper divisors (482134216).

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

363138320 is a wasteful number, since it uses less digits than its factorization.

363138320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5259 (or 5253 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

The square root of 363138320 is about 19056.1884961290. The cubic root of 363138320 is about 713.4398439573.

Adding to 363138320 its reverse (23831363), we get a palindrome (386969683).

The spelling of 363138320 in words is "three hundred sixty-three million, one hundred thirty-eight thousand, three hundred twenty".