361000200 has 192 divisors, whose sum is σ = 1237420800. Its totient is φ = 86329600.

The previous prime is 361000193. The next prime is 361000201. The reversal of 361000200 is 2000163.

It is a super-2 number, since 2×361000200² = 260642288800080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (361000201) 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 47 ways as a sum of consecutive naturals, for example, 547471 + ... + 548129.

It is an arithmetic number, because the mean of its divisors is an integer number (6444900).

Almost surely, 2^361000200 is an apocalyptic number.

361000200 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 361000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618710400).

361000200 is an abundant number, since it is smaller than the sum of its proper divisors (876420600).

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

361000200 is a wasteful number, since it uses less digits than its factorization.

361000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 361000200 is about 19000.0052631572. The cubic root of 361000200 is about 712.0368673836.

Adding to 361000200 its reverse (2000163), we get a palindrome (363000363).

The spelling of 361000200 in words is "three hundred sixty-one million, two hundred", and thus it is an aban number.