363358368 has 72 divisors (see below), whose sum is σ = 1041296256. Its totient is φ = 120182400.

The previous prime is 363358349. The next prime is 363358399. The reversal of 363358368 is 863853363.

363358368 is a `hidden beast` number, since 3 + 6 + 3 + 3 + 583 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 32913 + ... + 42543.

It is an arithmetic number, because the mean of its divisors is an integer number (14462448).

Almost surely, 2^363358368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 363358368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520648128).

363358368 is an abundant number, since it is smaller than the sum of its proper divisors (677937888).

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

363358368 is a wasteful number, since it uses less digits than its factorization.

363358368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9778 (or 9767 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The square root of 363358368 is about 19061.9612841911. The cubic root of 363358368 is about 713.5839206563.

It can be divided in two parts, 3633 and 58368, that added together give a square (62001 = 249²).

The spelling of 363358368 in words is "three hundred sixty-three million, three hundred fifty-eight thousand, three hundred sixty-eight".