379350 has 48 divisors (see below), whose sum is σ = 1049040. Its totient is φ = 100800.

The previous prime is 379343. The next prime is 379369. The reversal of 379350 is 53973.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 15.

It is a zygodrome in base 5.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 379350.

It is an unprimeable number.

379350 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 23 ways as a sum of consecutive naturals, for example, 1210 + ... + 1490.

It is an arithmetic number, because the mean of its divisors is an integer number (21855).

2³⁷⁹³⁵⁰ is an apocalyptic number.

379350 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 379350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524520).

379350 is an abundant number, since it is smaller than the sum of its proper divisors (669690).

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

379350 is a wasteful number, since it uses less digits than its factorization.

379350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 27.

The square root of 379350 is about 615.9139550294. The cubic root of 379350 is about 72.3902421655.

It can be divided in two parts, 379 and 350, that added together give a 6-th power (729 = 3⁶).

The spelling of 379350 in words is "three hundred seventy-nine thousand, three hundred fifty".