363818720 has 24 divisors (see below), whose sum is σ = 859522104. Its totient is φ = 145527424.

The previous prime is 363818699. The next prime is 363818723. The reversal of 363818720 is 27818363.

It is a happy number.

363818720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×363818720² = 264728122044876800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363818723) 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 3 ways as a sum of consecutive naturals, for example, 1136774 + ... + 1137093.

It is an arithmetic number, because the mean of its divisors is an integer number (35813421).

Almost surely, 2^363818720 is an apocalyptic number.

It is an amenable number.

363818720 is an abundant number, since it is smaller than the sum of its proper divisors (495703384).

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

363818720 is a wasteful number, since it uses less digits than its factorization.

363818720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2273882 (or 2273874 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 363818720 is about 19074.0326098075. The cubic root of 363818720 is about 713.8851486652.

The spelling of 363818720 in words is "three hundred sixty-three million, eight hundred eighteen thousand, seven hundred twenty".