349020 has 72 divisors (see below), whose sum is σ = 1214304. Its totient is φ = 79488.

The previous prime is 349007. The next prime is 349039. The reversal of 349020 is 20943.

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 348984 and 349002.

It is a congruent number.

It is an unprimeable number.

349020 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, 1122 + ... + 1398.

2³⁴⁹⁰²⁰ is an apocalyptic number.

349020 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 349020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607152).

349020 is an abundant number, since it is smaller than the sum of its proper divisors (865284).

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

349020 is a wasteful number, since it uses less digits than its factorization.

349020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 349020 is about 590.7791465514. The cubic root of 349020 is about 70.4071510470.

Adding to 349020 its reverse (20943), we get a palindrome (369963).

The spelling of 349020 in words is "three hundred forty-nine thousand, twenty".