344165125 has 16 divisors (see below), whose sum is σ = 431029872. Its totient is φ = 274363200.

The previous prime is 344165071. The next prime is 344165149. The reversal of 344165125 is 521561443.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 138156516 + 206008609 = 11754^2 + 14353^2 .

It is not a de Polignac number, because 344165125 - 2¹¹ = 344163077 is a prime.

It is a super-3 number, since 3×344165125³ (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31927 + ... + 41323.

It is an arithmetic number, because the mean of its divisors is an integer number (26939367).

Almost surely, 2^344165125 is an apocalyptic number.

It is an amenable number.

344165125 is a deficient number, since it is larger than the sum of its proper divisors (86864747).

344165125 is an equidigital number, since it uses as much as digits as its factorization.

344165125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9705 (or 9695 counting only the distinct ones).

The product of its digits is 14400, while the sum is 31.

The square root of 344165125 is about 18551.6879285956. The cubic root of 344165125 is about 700.7917062763.

The spelling of 344165125 in words is "three hundred forty-four million, one hundred sixty-five thousand, one hundred twenty-five".