349500576 has 48 divisors (see below), whose sum is σ = 949082400. Its totient is φ = 112482048.

The previous prime is 349500559. The next prime is 349500577. The reversal of 349500576 is 675005943.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (349500577) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 59986 + ... + 65553.

It is an arithmetic number, because the mean of its divisors is an integer number (19772550).

Almost surely, 2^349500576 is an apocalyptic number.

It is an amenable number.

349500576 is an abundant number, since it is smaller than the sum of its proper divisors (599581824).

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

349500576 is a wasteful number, since it uses less digits than its factorization.

349500576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125581 (or 125573 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The square root of 349500576 is about 18694.9345010888. The cubic root of 349500576 is about 704.3945145860.

The spelling of 349500576 in words is "three hundred forty-nine million, five hundred thousand, five hundred seventy-six".