3948061702729 has 27 divisors (see below), whose sum is σ = 4047820478247. Its totient is φ = 3850753674000.

The previous prime is 3948061702709. The next prime is 3948061702763. The reversal of 3948061702729 is 9272071608493.

The square root of 3948061702729 is 1986973.

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

It can be written as a sum of positive squares in only one way, i.e., 3793250931129 + 154810771600 = 1947627^2 + 393460^2 .

It is not a de Polignac number, because 3948061702729 - 2¹⁵ = 3948061669961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3948061702709) 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, 20670480024 + ... + 20670480214.

Almost surely, 2^{3948061702729} is an apocalyptic number.

3948061702729 is the 1986973-rd square number.

3948061702729 is the 993487-th centered octagonal number.

It is an amenable number.

3948061702729 is a deficient number, since it is larger than the sum of its proper divisors (99758775518).

3948061702729 is an frugal number, since it uses more digits than its factorization.

3948061702729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 58.

The spelling of 3948061702729 in words is "three trillion, nine hundred forty-eight billion, sixty-one million, seven hundred two thousand, seven hundred twenty-nine".