363880 has 32 divisors (see below), whose sum is σ = 894240. Its totient is φ = 132160.

The previous prime is 363871. The next prime is 363887. The reversal of 363880 is 88363.

It is not an unprimeable number, because it can be changed into a prime (363887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27 + ... + 853.

It is an arithmetic number, because the mean of its divisors is an integer number (27945).

2³⁶³⁸⁸⁰ 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 363880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447120).

363880 is an abundant number, since it is smaller than the sum of its proper divisors (530360).

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

363880 is a wasteful number, since it uses less digits than its factorization.

363880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 363880 is about 603.2246679306. The cubic root of 363880 is about 71.3925227624.

It can be divided in two parts, 36 and 3880, that added together give a triangular number (3916 = T₈₈).

The spelling of 363880 in words is "three hundred sixty-three thousand, eight hundred eighty".