349141504 has 40 divisors (see below), whose sum is σ = 699793380. Its totient is φ = 174022656.

The previous prime is 349141493. The next prime is 349141517. The reversal of 349141504 is 405141943.

It can be written as a sum of positive squares in 2 ways, for example, as 283855104 + 65286400 = 16848^2 + 8080^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 198292 + ... + 200044.

Almost surely, 2^349141504 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 349141504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349896690).

349141504 is an abundant number, since it is smaller than the sum of its proper divisors (350651876).

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

349141504 is an equidigital number, since it uses as much as digits as its factorization.

349141504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 349141504 is about 18685.3285761851. The cubic root of 349141504 is about 704.1532035722.

The spelling of 349141504 in words is "three hundred forty-nine million, one hundred forty-one thousand, five hundred four".