3948260402529 has 27 divisors (see below), whose sum is σ = 5813142823033. Its totient is φ = 2582303298432.

The previous prime is 3948260402473. The next prime is 3948260402531. The reversal of 3948260402529 is 9252040628493.

The square root of 3948260402529 is 1987023.

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

3948260402529 is a `hidden beast` number, since 3 + 9 + 4 + 8 + 2 + 604 + 0 + 2 + 5 + 29 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 267157698129 + 3681102704400 = 516873^2 + 1918620^2 .

It is a de Polignac number, because none of the positive numbers 2^k-3948260402529 is a prime.

It is a super-2 number, since 2×3948260402529² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3948260402599) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 315930409 + ... + 315942905.

Almost surely, 2^{3948260402529} is an apocalyptic number.

3948260402529 is the 1987023-rd square number.

3948260402529 is the 993512-nd centered octagonal number.

It is an amenable number.

3948260402529 is a deficient number, since it is larger than the sum of its proper divisors (1864882420504).

3948260402529 is an frugal number, since it uses more digits than its factorization.

3948260402529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25106 (or 12553 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 3948260402529 in words is "three trillion, nine hundred forty-eight billion, two hundred sixty million, four hundred two thousand, five hundred twenty-nine".