349140 has 72 divisors (see below), whose sum is σ = 1114848. Its totient is φ = 80960.

The previous prime is 349133. The next prime is 349171. The reversal of 349140 is 41943.

349140 = T₁₃ + T₁₄ + ... + T₁₂₇.

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 349140.

It is an unprimeable number.

349140 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15169 + ... + 15191.

It is an arithmetic number, because the mean of its divisors is an integer number (15484).

2³⁴⁹¹⁴⁰ is an apocalyptic number.

349140 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 349140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557424).

349140 is an abundant number, since it is smaller than the sum of its proper divisors (765708).

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

349140 is a wasteful number, since it uses less digits than its factorization.

349140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 349140 is about 590.8806986186. The cubic root of 349140 is about 70.4152192475.

The spelling of 349140 in words is "three hundred forty-nine thousand, one hundred forty".