3457907607025 has 81 divisors (see below), whose sum is σ = 4617550384417. Its totient is φ = 2568254790400.

The previous prime is 3457907607013. The next prime is 3457907607043. The reversal of 3457907607025 is 5207067097543.

The square root of 3457907607025 is 1859545.

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 80883928801 + 3377023678224 = 284401^2 + 1837668^2 .

It is not a de Polignac number, because 3457907607025 - 2²⁵ = 3457874052593 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 20706033492 + ... + 20706033658.

Almost surely, 2^{3457907607025} is an apocalyptic number.

3457907607025 is the 1859545-th square number.

3457907607025 is the 929773-rd centered octagonal number.

It is an amenable number.

3457907607025 is a deficient number, since it is larger than the sum of its proper divisors (1159642777392).

3457907607025 is an equidigital number, since it uses as much as digits as its factorization.

3457907607025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 11113200, while the sum is 55.

The spelling of 3457907607025 in words is "three trillion, four hundred fifty-seven billion, nine hundred seven million, six hundred seven thousand, twenty-five".