3460617777761 has 16 divisors (see below), whose sum is σ = 3792891387600. Its totient is φ = 3142784698368.

The previous prime is 3460617777697. The next prime is 3460617777787. The reversal of 3460617777761 is 1677777160643.

3460617777761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 691325731600 + 2769292046161 = 831460^2 + 1664119^2 .

It is a cyclic number.

It is not a de Polignac number, because 3460617777761 - 2⁶ = 3460617777697 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3460617777694 and 3460617777703.

It is not an unprimeable number, because it can be changed into a prime (3460617777361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1388090 + ... + 2974563.

It is an arithmetic number, because the mean of its divisors is an integer number (237055711725).

Almost surely, 2^{3460617777761} is an apocalyptic number.

It is an amenable number.

3460617777761 is a deficient number, since it is larger than the sum of its proper divisors (332273609839).

3460617777761 is a wasteful number, since it uses less digits than its factorization.

3460617777761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4364308.

The product of its (nonzero) digits is 43563744, while the sum is 62.

The spelling of 3460617777761 in words is "three trillion, four hundred sixty billion, six hundred seventeen million, seven hundred seventy-seven thousand, seven hundred sixty-one".