349604190 has 96 divisors (see below), whose sum is σ = 1001800800. Its totient is φ = 84043008.

The previous prime is 349604149. The next prime is 349604197. The reversal of 349604190 is 91406943.

349604190 is a `hidden beast` number, since 3 + 49 + 604 + 1 + 9 + 0 = 666.

It is a super-3 number, since 3×349604190³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349604197) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46836 + ... + 53784.

It is an arithmetic number, because the mean of its divisors is an integer number (10435425).

Almost surely, 2^349604190 is an apocalyptic number.

349604190 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 349604190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500900400).

349604190 is an abundant number, since it is smaller than the sum of its proper divisors (652196610).

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

349604190 is a wasteful number, since it uses less digits than its factorization.

349604190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7018 (or 7015 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 349604190 is about 18697.7054742019. The cubic root of 349604190 is about 704.4641166859.

The spelling of 349604190 in words is "three hundred forty-nine million, six hundred four thousand, one hundred ninety".