380190 has 64 divisors (see below), whose sum is σ = 1036800. Its totient is φ = 88704.

The previous prime is 380189. The next prime is 380197. The reversal of 380190 is 91083.

380190 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×380190² = 289088872200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380197) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 13096 + ... + 13124.

It is an arithmetic number, because the mean of its divisors is an integer number (16200).

2³⁸⁰¹⁹⁰ is an apocalyptic number.

380190 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 380190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518400).

380190 is an abundant number, since it is smaller than the sum of its proper divisors (656610).

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

380190 is a wasteful number, since it uses less digits than its factorization.

380190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81.

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 380190 is about 616.5954913880. The cubic root of 380190 is about 72.4436343504.

The spelling of 380190 in words is "three hundred eighty thousand, one hundred ninety".