3946456391761 has 81 divisors (see below), whose sum is σ = 4637029905273. Its totient is φ = 3356506982400.

The previous prime is 3946456391749. The next prime is 3946456391783. The reversal of 3946456391761 is 1671936546493.

The square root of 3946456391761 is 1986569.

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 3847407713361 + 99048678400 = 1961481^2 + 314720^2 .

It is not a de Polignac number, because 3946456391761 - 2¹¹ = 3946456389713 is a prime.

It is a super-2 number, since 2×3946456391761² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3946456391693 and 3946456391702.

It is not an unprimeable number, because it can be changed into a prime (3946456391161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 39073825611 + ... + 39073825711.

Almost surely, 2^{3946456391761} is an apocalyptic number.

3946456391761 is the 1986569-th square number.

3946456391761 is the 993285-th centered octagonal number.

It is an amenable number.

3946456391761 is a deficient number, since it is larger than the sum of its proper divisors (690573513512).

3946456391761 is an equidigital number, since it uses as much as digits as its factorization.

3946456391761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 220 counting only the distinct ones).

The product of its digits is 88179840, while the sum is 64.

Multiplying 3946456391761 by its sum of digits (64), we get a square (252573209072704 = 15892552²).

The spelling of 3946456391761 in words is "three trillion, nine hundred forty-six billion, four hundred fifty-six million, three hundred ninety-one thousand, seven hundred sixty-one".