3469005760761 has 64 divisors (see below), whose sum is σ = 5296192957440. Its totient is φ = 2242493890560.

The previous prime is 3469005760751. The next prime is 3469005760769. The reversal of 3469005760761 is 1670675009643.

It is a happy number.

3469005760761 is a `hidden beast` number, since 3 + 4 + 6 + 9 + 0 + 0 + 576 + 0 + 7 + 61 = 666.

It is not a de Polignac number, because 3469005760761 - 2¹⁸ = 3469005498617 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3469005760698 and 3469005760707.

It is not an unprimeable number, because it can be changed into a prime (3469005760769) 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 63 ways as a sum of consecutive naturals, for example, 407490841 + ... + 407499353.

It is an arithmetic number, because the mean of its divisors is an integer number (82753014960).

Almost surely, 2^{3469005760761} is an apocalyptic number.

It is an amenable number.

3469005760761 is a deficient number, since it is larger than the sum of its proper divisors (1827187196679).

3469005760761 is a wasteful number, since it uses less digits than its factorization.

3469005760761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9903 (or 9897 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 3469005760761 in words is "three trillion, four hundred sixty-nine billion, five million, seven hundred sixty thousand, seven hundred sixty-one".