361085800 has 48 divisors (see below), whose sum is σ = 841603500. Its totient is φ = 144076800.

The previous prime is 361085743. The next prime is 361085821. The reversal of 361085800 is 8580163.

It can be written as a sum of positive squares in 6 ways, for example, as 62694724 + 298391076 = 7918^2 + 17274^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87790 + ... + 91810.

Almost surely, 2^361085800 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 361085800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420801750).

361085800 is an abundant number, since it is smaller than the sum of its proper divisors (480517700).

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

361085800 is a wasteful number, since it uses less digits than its factorization.

361085800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4486 (or 4477 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 361085800 is about 19002.2577605926. The cubic root of 361085800 is about 712.0931420883.

The spelling of 361085800 in words is "three hundred sixty-one million, eighty-five thousand, eight hundred".