361890000 has 150 divisors (see below), whose sum is σ = 1265896346. Its totient is φ = 96480000.

The previous prime is 361889993. The next prime is 361890019. The reversal of 361890000 is 98163.

It can be written as a sum of positive squares in 5 ways, for example, as 238146624 + 123743376 = 15432^2 + 11124^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 87990 + ... + 92010.

Almost surely, 2^361890000 is an apocalyptic number.

361890000 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 361890000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632948173).

361890000 is an abundant number, since it is smaller than the sum of its proper divisors (904006346).

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

361890000 is a wasteful number, since it uses less digits than its factorization.

361890000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4055 (or 4031 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 361890000 is about 19023.4066349852. The cubic root of 361890000 is about 712.6214012895.

The spelling of 361890000 in words is "three hundred sixty-one million, eight hundred ninety thousand".