349380 has 48 divisors (see below), whose sum is σ = 1088640. Its totient is φ = 93024.

The previous prime is 349379. The next prime is 349381. The reversal of 349380 is 83943.

It is an interprime number because it is at equal distance from previous prime (349379) and next prime (349381).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (349381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217 + ... + 863.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2³⁴⁹³⁸⁰ is an apocalyptic number.

349380 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544320).

349380 is an abundant number, since it is smaller than the sum of its proper divisors (739260).

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

349380 is a wasteful number, since it uses less digits than its factorization.

349380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 349380 is about 591.0837504111. The cubic root of 349380 is about 70.4313501041.

It can be divided in two parts, 349 and 380, that added together give a 6-th power (729 = 3⁶).

The spelling of 349380 in words is "three hundred forty-nine thousand, three hundred eighty".