363418064 has 20 divisors (see below), whose sum is σ = 704421060. Its totient is φ = 181632000.

The previous prime is 363418051. The next prime is 363418067. The reversal of 363418064 is 460814363.

It can be written as a sum of positive squares in 2 ways, for example, as 299290000 + 64128064 = 17300^2 + 8008^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363418067) 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 3 ways as a sum of consecutive naturals, for example, 63314 + ... + 68814.

It is an arithmetic number, because the mean of its divisors is an integer number (35221053).

Almost surely, 2^363418064 is an apocalyptic number.

It is an amenable number.

363418064 is a deficient number, since it is larger than the sum of its proper divisors (341002996).

363418064 is a wasteful number, since it uses less digits than its factorization.

363418064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9638 (or 9632 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The square root of 363418064 is about 19063.5270608563. The cubic root of 363418064 is about 713.6229966548.

The spelling of 363418064 in words is "three hundred sixty-three million, four hundred eighteen thousand, sixty-four".