349819017025 has 27 divisors (see below), whose sum is σ = 449359309321. Its totient is φ = 270138790880.

The previous prime is 349819016959. The next prime is 349819017059. The reversal of 349819017025 is 520710918943.

It is a happy number.

The square root of 349819017025 is 591455.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4808451649 + 345010565376 = 69343^2 + 587376^2 .

It is not a de Polignac number, because 349819017025 - 2⁹ = 349819016513 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 349819017025.

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 26 ways as a sum of consecutive naturals, for example, 85758936 + ... + 85763014.

Almost surely, 2^349819017025 is an apocalyptic number.

349819017025 is the 591455-th square number.

349819017025 is the 295728-th centered octagonal number.

It is an amenable number.

349819017025 is a deficient number, since it is larger than the sum of its proper divisors (99540292296).

349819017025 is an frugal number, since it uses more digits than its factorization.

349819017025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8226 (or 4113 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 49.

Multiplying 349819017025 by its sum of digits (49), we get a square (17141131834225 = 4140185²).

The spelling of 349819017025 in words is "three hundred forty-nine billion, eight hundred nineteen million, seventeen thousand, twenty-five".