3956109066009 has 9 divisors (see below), whose sum is σ = 5714388381013. Its totient is φ = 2637402066012.

The previous prime is 3956109065981. The next prime is 3956109066031. The reversal of 3956109066009 is 9006609016593.

It is a happy number.

The square root of 3956109066009 is 1988997.

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

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 3956109066009 - 2³⁵ = 3921749327641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3956109066089) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5635492 + ... + 6298490.

Almost surely, 2^{3956109066009} is an apocalyptic number.

3956109066009 is the 1988997-th square number.

3956109066009 is the 994499-th centered octagonal number.

It is an amenable number.

3956109066009 is a deficient number, since it is larger than the sum of its proper divisors (1758279315004).

3956109066009 is an frugal number, since it uses more digits than its factorization.

3956109066009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326004 (or 663002 counting only the distinct ones).

The product of its (nonzero) digits is 2361960, while the sum is 54.

The spelling of 3956109066009 in words is "three trillion, nine hundred fifty-six billion, one hundred nine million, sixty-six thousand, nine".