349210000 has 100 divisors (see below), whose sum is σ = 864623232. Its totient is φ = 136528000.

The previous prime is 349209977. The next prime is 349210007. The reversal of 349210000 is 12943.

It is a tau number, because it is divible by the number of its divisors (100).

It is a self number, because there is not a number n which added to its sum of digits gives 349210000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349210007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 469629 + ... + 470371.

Almost surely, 2^349210000 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 349210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432311616).

349210000 is an abundant number, since it is smaller than the sum of its proper divisors (515413232).

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

349210000 is an equidigital number, since it uses as much as digits as its factorization.

349210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 349210000 is about 18687.1613681693. The cubic root of 349210000 is about 704.1992484409.

Adding to 349210000 its reverse (12943), we get a palindrome (349222943).

The spelling of 349210000 in words is "three hundred forty-nine million, two hundred ten thousand".