361010880 has 168 divisors, whose sum is σ = 1254812832. Its totient is φ = 95256576.

The previous prime is 361010833. The next prime is 361010891. The reversal of 361010880 is 88010163.

361010880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 296032 + ... + 297248.

It is an arithmetic number, because the mean of its divisors is an integer number (7469124).

Almost surely, 2^361010880 is an apocalyptic number.

361010880 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 361010880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627406416).

361010880 is an abundant number, since it is smaller than the sum of its proper divisors (893801952).

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

361010880 is a wasteful number, since it uses less digits than its factorization.

361010880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 361010880 is about 19000.2863136322. The cubic root of 361010880 is about 712.0438890590.

The spelling of 361010880 in words is "three hundred sixty-one million, ten thousand, eight hundred eighty".