349635920 has 20 divisors (see below), whose sum is σ = 812903700. Its totient is φ = 139854336.

The previous prime is 349635917. The next prime is 349635931. The reversal of 349635920 is 29536943.

It can be written as a sum of positive squares in 2 ways, for example, as 210018064 + 139617856 = 14492^2 + 11816^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2185145 + ... + 2185304.

It is an arithmetic number, because the mean of its divisors is an integer number (40645185).

Almost surely, 2^349635920 is an apocalyptic number.

It is an amenable number.

349635920 is an abundant number, since it is smaller than the sum of its proper divisors (463267780).

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

349635920 is a wasteful number, since it uses less digits than its factorization.

349635920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4370462 (or 4370456 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 41.

The square root of 349635920 is about 18698.5539547848. The cubic root of 349635920 is about 704.4854283776.

The spelling of 349635920 in words is "three hundred forty-nine million, six hundred thirty-five thousand, nine hundred twenty".