3577664106961 has 16 divisors (see below), whose sum is σ = 4092520924800. Its totient is φ = 3063748285440.

The previous prime is 3577664106953. The next prime is 3577664106971. The reversal of 3577664106961 is 1696014667753.

It is a cyclic number.

It is not a de Polignac number, because 3577664106961 - 2³ = 3577664106953 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3577664106961.

It is not an unprimeable number, because it can be changed into a prime (3577664106901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154872390 + ... + 154895488.

It is an arithmetic number, because the mean of its divisors is an integer number (255782557800).

Almost surely, 2^{3577664106961} is an apocalyptic number.

It is an amenable number.

3577664106961 is a deficient number, since it is larger than the sum of its proper divisors (514856817839).

3577664106961 is a wasteful number, since it uses less digits than its factorization.

3577664106961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42504.

The product of its (nonzero) digits is 34292160, while the sum is 61.

The spelling of 3577664106961 in words is "three trillion, five hundred seventy-seven billion, six hundred sixty-four million, one hundred six thousand, nine hundred sixty-one".