3405072609 has 27 divisors (see below), whose sum is σ = 5026686483. Its totient is φ = 2221148592.

The previous prime is 3405072589. The next prime is 3405072617. The reversal of 3405072609 is 9062705043.

The square root of 3405072609 is 58353.

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

3405072609 is a `hidden beast` number, since 3 + 40 + 5 + 0 + 7 + 2 + 609 = 666.

3405072609 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2454707025 + 950365584 = 49545^2 + 30828^2 .

It is not a de Polignac number, because 3405072609 - 2²⁵ = 3371518177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3405072659) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9277944 + ... + 9278310.

Almost surely, 2^3405072609 is an apocalyptic number.

3405072609 is the 58353-rd square number.

3405072609 is the 29177-th centered octagonal number.

It is an amenable number.

3405072609 is a deficient number, since it is larger than the sum of its proper divisors (1621613874).

3405072609 is an frugal number, since it uses more digits than its factorization.

3405072609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The cubic root of 3405072609 is about 1504.4420339049.

Multiplying 3405072609 by its sum of digits (36), we get a square (122582613924 = 350118²).

The spelling of 3405072609 in words is "three billion, four hundred five million, seventy-two thousand, six hundred nine".