349074180625 has 15 divisors (see below), whose sum is σ = 436221554263. Its totient is φ = 279247528000.

The previous prime is 349074180607. The next prime is 349074180649. The reversal of 349074180625 is 526081470943.

It is a happy number.

The square root of 349074180625 is 590825.

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

It can be written as a sum of positive squares in 7 ways, for example, as 106167143889 + 242907036736 = 325833^2 + 492856^2 .

It is not a de Polignac number, because 349074180625 - 2²⁷ = 348939962897 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 14758809 + ... + 14782441.

It is a 1-persistent number, because it is pandigital, but 2⋅349074180625 = 698148361250 is not.

Almost surely, 2^349074180625 is an apocalyptic number.

349074180625 is the 590825-th square number.

349074180625 is the 295413-rd centered octagonal number.

It is an amenable number.

349074180625 is a deficient number, since it is larger than the sum of its proper divisors (87147373638).

349074180625 is an frugal number, since it uses more digits than its factorization.

349074180625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47286 (or 23638 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

Multiplying 349074180625 by its sum of digits (49), we get a square (17104634850625 = 4135775²).

The spelling of 349074180625 in words is "three hundred forty-nine billion, seventy-four million, one hundred eighty thousand, six hundred twenty-five".