380340 has 36 divisors (see below), whose sum is σ = 1154244. Its totient is φ = 101376.

The previous prime is 380333. The next prime is 380363. The reversal of 380340 is 43083.

It can be written as a sum of positive squares in 2 ways, for example, as 41616 + 338724 = 204^2 + 582^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

380340 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 11 ways as a sum of consecutive naturals, for example, 877 + ... + 1236.

2³⁸⁰³⁴⁰ is an apocalyptic number.

380340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

380340 is an abundant number, since it is smaller than the sum of its proper divisors (773904).

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

380340 is a wasteful number, since it uses less digits than its factorization.

380340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 380340 is about 616.7171150536. The cubic root of 380340 is about 72.4531603912.

Adding to 380340 its product of nonzero digits (288), we get a triangular number (380628 = T₈₇₂).

The spelling of 380340 in words is "three hundred eighty thousand, three hundred forty".