361330200 has 576 divisors, whose sum is σ = 1583232000. Its totient is φ = 74131200.

The previous prime is 361330199. The next prime is 361330241. The reversal of 361330200 is 2033163.

It is a happy number.

361330200 is a `hidden beast` number, since 3 + 613 + 30 + 20 + 0 = 666.

361330200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 143 ways as a sum of consecutive naturals, for example, 4573761 + ... + 4573839.

Almost surely, 2^361330200 is an apocalyptic number.

361330200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361330200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791616000).

361330200 is an abundant number, since it is smaller than the sum of its proper divisors (1221901800).

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

361330200 is a wasteful number, since it uses less digits than its factorization.

361330200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 361330200 is about 19008.6874875674. The cubic root of 361330200 is about 712.2537653285.

Adding to 361330200 its reverse (2033163), we get a palindrome (363363363).

The spelling of 361330200 in words is "three hundred sixty-one million, three hundred thirty thousand, two hundred".