3960398505625 has 45 divisors (see below), whose sum is σ = 5174934583819. Its totient is φ = 3029690180000.

The previous prime is 3960398505563. The next prime is 3960398505683. The reversal of 3960398505625 is 5265058930693.

The square root of 3960398505625 is 1990075.

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 3837598722441 + 122799783184 = 1958979^2 + 350428^2 .

It is not a de Polignac number, because 3960398505625 - 2¹¹ = 3960398503577 is a prime.

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, 1144291395 + ... + 1144294855.

Almost surely, 2^{3960398505625} is an apocalyptic number.

3960398505625 is the 1990075-th square number.

3960398505625 is the 995038-th centered octagonal number.

It is an amenable number.

3960398505625 is a deficient number, since it is larger than the sum of its proper divisors (1214536078194).

3960398505625 is an frugal number, since it uses more digits than its factorization.

3960398505625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6988 (or 3489 counting only the distinct ones).

The product of its (nonzero) digits is 52488000, while the sum is 61.

The spelling of 3960398505625 in words is "three trillion, nine hundred sixty billion, three hundred ninety-eight million, five hundred five thousand, six hundred twenty-five".