361790880 has 96 divisors (see below), whose sum is σ = 1243263168. Its totient is φ = 87705600.

The previous prime is 361790873. The next prime is 361790881. The reversal of 361790880 is 88097163.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (361790881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28981 + ... + 39540.

It is an arithmetic number, because the mean of its divisors is an integer number (12950658).

Almost surely, 2^361790880 is an apocalyptic number.

361790880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

361790880 is an abundant number, since it is smaller than the sum of its proper divisors (881472288).

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

361790880 is a wasteful number, since it uses less digits than its factorization.

361790880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68550 (or 68542 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 361790880 is about 19020.8012449529. The cubic root of 361790880 is about 712.5563341115.

The spelling of 361790880 in words is "three hundred sixty-one million, seven hundred ninety thousand, eight hundred eighty".