3948347832025 has 81 divisors (see below), whose sum is σ = 5276955334437. Its totient is φ = 2930017075200.

The previous prime is 3948347832017. The next prime is 3948347832031. The reversal of 3948347832025 is 5202387438493.

The square root of 3948347832025 is 1987045.

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

It can be written as a sum of positive squares in 40 ways, for example, as 3440828372809 + 507519459216 = 1854947^2 + 712404^2 .

It is not a de Polignac number, because 3948347832025 - 2³ = 3948347832017 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, 16383185905 + ... + 16383186145.

Almost surely, 2^{3948347832025} is an apocalyptic number.

3948347832025 is the 1987045-th square number.

3948347832025 is the 993523-rd centered octagonal number.

It is an amenable number.

3948347832025 is a deficient number, since it is larger than the sum of its proper divisors (1328607502412).

3948347832025 is an frugal number, since it uses more digits than its factorization.

3948347832025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 58.

The spelling of 3948347832025 in words is "three trillion, nine hundred forty-eight billion, three hundred forty-seven million, eight hundred thirty-two thousand, twenty-five".