3996641961 has 27 divisors (see below), whose sum is σ = 6255016677. Its totient is φ = 2457954720.

The previous prime is 3996641951. The next prime is 3996642007. The reversal of 3996641961 is 1691466993.

The square root of 3996641961 is 63219.

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

3996641961 is a `hidden beast` number, since 399 + 6 + 64 + 196 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 45765225 + 3950876736 = 6765^2 + 62856^2 .

It is not a de Polignac number, because 3996641961 - 2¹³ = 3996633769 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3996641898 and 3996641907.

It is not an unprimeable number, because it can be changed into a prime (3996641951) 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, 2464731 + ... + 2466351.

Almost surely, 2^3996641961 is an apocalyptic number.

3996641961 is the 63219-th square number.

3996641961 is the 31610-th centered octagonal number.

It is an amenable number.

3996641961 is a deficient number, since it is larger than the sum of its proper divisors (2258374716).

3996641961 is an equidigital number, since it uses as much as digits as its factorization.

3996641961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3274 (or 1637 counting only the distinct ones).

The product of its digits is 1889568, while the sum is 54.

The cubic root of 3996641961 is about 1586.9567147164.

The spelling of 3996641961 in words is "three billion, nine hundred ninety-six million, six hundred forty-one thousand, nine hundred sixty-one".