349809125 has 16 divisors (see below), whose sum is σ = 438300720. Its totient is φ = 278732800.

The previous prime is 349809091. The next prime is 349809127. The reversal of 349809125 is 521908943.

It can be written as a sum of positive squares in 8 ways, for example, as 104980516 + 244828609 = 10246^2 + 15647^2 .

It is not a de Polignac number, because 349809125 - 2²⁰ = 348760549 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349809127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26681 + ... + 37569.

It is an arithmetic number, because the mean of its divisors is an integer number (27393795).

Almost surely, 2^349809125 is an apocalyptic number.

It is an amenable number.

349809125 is a deficient number, since it is larger than the sum of its proper divisors (88491595).

349809125 is a wasteful number, since it uses less digits than its factorization.

349809125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11161 (or 11151 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 349809125 is about 18703.1848892107. The cubic root of 349809125 is about 704.6017400875.

The spelling of 349809125 in words is "three hundred forty-nine million, eight hundred nine thousand, one hundred twenty-five".