349287252 has 48 divisors (see below), whose sum is σ = 865925760. Its totient is φ = 109372032.

The previous prime is 349287251. The next prime is 349287259. The reversal of 349287252 is 252782943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349287251) 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, 688 + ... + 26439.

It is an arithmetic number, because the mean of its divisors is an integer number (18040120).

Almost surely, 2^349287252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349287252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432962880).

349287252 is an abundant number, since it is smaller than the sum of its proper divisors (516638508).

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

349287252 is a wasteful number, since it uses less digits than its factorization.

349287252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27200 (or 27198 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 349287252 is about 18689.2282344670. The cubic root of 349287252 is about 704.2511721060.

The spelling of 349287252 in words is "three hundred forty-nine million, two hundred eighty-seven thousand, two hundred fifty-two".