363220000 has 240 divisors, whose sum is σ = 1058061312. Its totient is φ = 120960000.

The previous prime is 363219929. The next prime is 363220001. The reversal of 363220000 is 22363.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (363220001) 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 39 ways as a sum of consecutive naturals, for example, 2859937 + ... + 2860063.

Almost surely, 2^363220000 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 363220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529030656).

363220000 is an abundant number, since it is smaller than the sum of its proper divisors (694841312).

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

363220000 is a wasteful number, since it uses less digits than its factorization.

363220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 363220000 is about 19058.3315114414. The cubic root of 363220000 is about 713.4933308287.

Adding to 363220000 its reverse (22363), we get a palindrome (363242363).

It can be divided in two parts, 3632 and 20000, that added together give a palindrome (23632).

The spelling of 363220000 in words is "three hundred sixty-three million, two hundred twenty thousand".