363916368 has 40 divisors (see below), whose sum is σ = 1044576000. Its totient is φ = 121305312.

The previous prime is 363916337. The next prime is 363916379. The reversal of 363916368 is 863619363.

363916368 is a `hidden beast` number, since 3 + 6 + 3 + 9 + 1 + 636 + 8 = 666.

It is a super-2 number, since 2×363916368² = 264870245796622848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 420768 + ... + 421631.

It is an arithmetic number, because the mean of its divisors is an integer number (26114400).

Almost surely, 2^363916368 is an apocalyptic number.

It is an amenable number.

363916368 is an abundant number, since it is smaller than the sum of its proper divisors (680659632).

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

363916368 is a wasteful number, since it uses less digits than its factorization.

363916368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842416 (or 842404 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 363916368 is about 19076.5921484944. The cubic root of 363916368 is about 713.9490112589.

The spelling of 363916368 in words is "three hundred sixty-three million, nine hundred sixteen thousand, three hundred sixty-eight".