3459023424025 has 135 divisors (see below), whose sum is σ = 4869911633739. Its totient is φ = 2437140888000.

The previous prime is 3459023424011. The next prime is 3459023424061. The reversal of 3459023424025 is 5204243209543.

The square root of 3459023424025 is 1859845.

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 3393837164169 + 65186259856 = 1842237^2 + 255316^2 .

It is a de Polignac number, because none of the positive numbers 2^k-3459023424025 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 48718639740 + ... + 48718639810.

Almost surely, 2^{3459023424025} is an apocalyptic number.

3459023424025 is the 1859845-th square number.

3459023424025 is the 929923-rd centered octagonal number.

It is an amenable number.

3459023424025 is a deficient number, since it is larger than the sum of its proper divisors (1410888209714).

3459023424025 is an frugal number, since it uses more digits than its factorization.

3459023424025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 43.

The spelling of 3459023424025 in words is "three trillion, four hundred fifty-nine billion, twenty-three million, four hundred twenty-four thousand, twenty-five".