349953198 has 48 divisors (see below), whose sum is σ = 816354000. Its totient is φ = 99719424.

The previous prime is 349953181. The next prime is 349953259. The reversal of 349953198 is 891359943.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 349953198.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125928 + ... + 128676.

It is an arithmetic number, because the mean of its divisors is an integer number (17007375).

Almost surely, 2^349953198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349953198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408177000).

349953198 is an abundant number, since it is smaller than the sum of its proper divisors (466400802).

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

349953198 is a wasteful number, since it uses less digits than its factorization.

349953198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3201 (or 3194 counting only the distinct ones).

The product of its digits is 1049760, while the sum is 51.

The square root of 349953198 is about 18707.0360559871. The cubic root of 349953198 is about 704.6984596467.

The spelling of 349953198 in words is "three hundred forty-nine million, nine hundred fifty-three thousand, one hundred ninety-eight".