346126305625 has 45 divisors (see below), whose sum is σ = 438727116289. Its totient is φ = 272982800000.

The previous prime is 346126305559. The next prime is 346126305641. The reversal of 346126305625 is 526503621643.

The square root of 346126305625 is 588325.

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

It can be written as a sum of positive squares in 22 ways, for example, as 346041592009 + 84713616 = 588253^2 + 9204^2 .

It is not a de Polignac number, because 346126305625 - 2³⁵ = 311766567257 is a prime.

It is a super-2 number, since 2×346126305625² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1485520509 + ... + 1485520741.

Almost surely, 2^346126305625 is an apocalyptic number.

346126305625 is the 588325-th square number.

346126305625 is the 294163-rd centered octagonal number.

It is an amenable number.

346126305625 is a deficient number, since it is larger than the sum of its proper divisors (92600810664).

346126305625 is an frugal number, since it uses more digits than its factorization.

346126305625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 43.

The spelling of 346126305625 in words is "three hundred forty-six billion, one hundred twenty-six million, three hundred five thousand, six hundred twenty-five".