3442776788961 has 16 divisors (see below), whose sum is σ = 5119230769920. Its totient is φ = 2286715205520.

The previous prime is 3442776788953. The next prime is 3442776788987. The reversal of 3442776788961 is 1698876772443.

3442776788961 is a `hidden beast` number, since 3 + 4 + 427 + 7 + 67 + 8 + 89 + 61 = 666.

It is not a de Polignac number, because 3442776788961 - 2³ = 3442776788953 is a prime.

It is a super-2 number, since 2×3442776788961² (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3442776788961.

It is not an unprimeable number, because it can be changed into a prime (3442776788921) 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, 235251450 + ... + 235266083.

It is an arithmetic number, because the mean of its divisors is an integer number (319951923120).

Almost surely, 2^{3442776788961} is an apocalyptic number.

It is an amenable number.

3442776788961 is a deficient number, since it is larger than the sum of its proper divisors (1676453980959).

3442776788961 is a wasteful number, since it uses less digits than its factorization.

3442776788961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470517813 (or 470517807 counting only the distinct ones).

The product of its digits is 682795008, while the sum is 72.

The spelling of 3442776788961 in words is "three trillion, four hundred forty-two billion, seven hundred seventy-six million, seven hundred eighty-eight thousand, nine hundred sixty-one".