3946710676689 has 63 divisors (see below), whose sum is σ = 6505177127659. Its totient is φ = 2391588270720.

The previous prime is 3946710676679. The next prime is 3946710676693. The reversal of 3946710676689 is 9866760176493.

The square root of 3946710676689 is 1986633.

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

3946710676689 is a `hidden beast` number, since 3 + 9 + 467 + 10 + 6 + 76 + 6 + 89 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3294105211089 + 652605465600 = 1814967^2 + 807840^2 .

It is not a de Polignac number, because 3946710676689 - 2²¹ = 3946708579537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3946710676679) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 590026657 + ... + 590033345.

Almost surely, 2^{3946710676689} is an apocalyptic number.

3946710676689 is the 1986633-rd square number.

3946710676689 is the 993317-th centered octagonal number.

It is an amenable number.

3946710676689 is a deficient number, since it is larger than the sum of its proper divisors (2558466450970).

3946710676689 is an frugal number, since it uses more digits than its factorization.

3946710676689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13418 (or 6703 counting only the distinct ones).

The product of its (nonzero) digits is 493807104, while the sum is 72.

The spelling of 3946710676689 in words is "three trillion, nine hundred forty-six billion, seven hundred ten million, six hundred seventy-six thousand, six hundred eighty-nine".