3450688905609 has 81 divisors (see below), whose sum is σ = 5526848987751. Its totient is φ = 2073084948000.

The previous prime is 3450688905607. The next prime is 3450688905617. The reversal of 3450688905609 is 9065098860543.

The square root of 3450688905609 is 1857603.

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

3450688905609 is a `hidden beast` number, since 3 + 4 + 5 + 0 + 68 + 8 + 9 + 0 + 560 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38023830009 + 3412665075600 = 194997^2 + 1847340^2 .

It is not a de Polignac number, because 3450688905609 - 2¹ = 3450688905607 is a prime.

It is a super-2 number, since 2×3450688905609² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3450688905607) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 11095462564 + ... + 11095462874.

Almost surely, 2^{3450688905609} is an apocalyptic number.

3450688905609 is the 1857603-rd square number.

3450688905609 is the 928802-nd centered octagonal number.

It is an amenable number.

3450688905609 is a deficient number, since it is larger than the sum of its proper divisors (2076160082142).

3450688905609 is an equidigital number, since it uses as much as digits as its factorization.

3450688905609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 3450688905609 in words is "three trillion, four hundred fifty billion, six hundred eighty-eight million, nine hundred five thousand, six hundred nine".