361530180 has 144 divisors (see below), whose sum is σ = 1204991424. Its totient is φ = 87010560.

The previous prime is 361530179. The next prime is 361530187. The reversal of 361530180 is 81035163.

361530180 is a `hidden beast` number, since 3 + 615 + 30 + 18 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (361530187) 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, 310279 + ... + 311441.

It is an arithmetic number, because the mean of its divisors is an integer number (8367996).

Almost surely, 2^361530180 is an apocalyptic number.

361530180 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 361530180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602495712).

361530180 is an abundant number, since it is smaller than the sum of its proper divisors (843461244).

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

361530180 is a wasteful number, since it uses less digits than its factorization.

361530180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 361530180 is about 19013.9469863571. The cubic root of 361530180 is about 712.3851412266.

The spelling of 361530180 in words is "three hundred sixty-one million, five hundred thirty thousand, one hundred eighty".