349015100625 has 45 divisors (see below), whose sum is σ = 630044486071. Its totient is φ = 186117756000.

The previous prime is 349015100573. The next prime is 349015100641. The reversal of 349015100625 is 526001510943.

The square root of 349015100625 is 590775.

It is a perfect power (a square), and thus also a powerful number.

349015100625 is a `hidden beast` number, since 3 + 4 + 9 + 0 + 15 + 10 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 344239184961 + 4775915664 = 586719^2 + 69108^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 349015100625 - 2¹⁵ = 349015067857 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 349015100625.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 44304187 + ... + 44312063.

Almost surely, 2^349015100625 is an apocalyptic number.

349015100625 is the 590775-th square number.

349015100625 is the 295388-th centered octagonal number.

It is an amenable number.

349015100625 is a deficient number, since it is larger than the sum of its proper divisors (281029385446).

349015100625 is an frugal number, since it uses more digits than its factorization.

349015100625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15780 (or 7885 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Multiplying 349015100625 by its sum of digits (36), we get a square (12564543622500 = 3544650²).

The spelling of 349015100625 in words is "three hundred forty-nine billion, fifteen million, one hundred thousand, six hundred twenty-five".