36709410409 has 27 divisors (see below), whose sum is σ = 43289507223. Its totient is φ = 31038714000.

The previous prime is 36709410391. The next prime is 36709410469. The reversal of 36709410409 is 90401490763.

The square root of 36709410409 is 191597.

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

It can be written as a sum of positive squares in only one way, i.e., 35269966809 + 1439443600 = 187803^2 + 37940^2 .

It is not a de Polignac number, because 36709410409 - 2⁷ = 36709410281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36709410469) 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, 135458944 + ... + 135459214.

Almost surely, 2^36709410409 is an apocalyptic number.

36709410409 is the 191597-th square number.

36709410409 is the 95799-th centered octagonal number.

It is an amenable number.

36709410409 is a deficient number, since it is larger than the sum of its proper divisors (6580096814).

36709410409 is an frugal number, since it uses more digits than its factorization.

36709410409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 43.

The spelling of 36709410409 in words is "thirty-six billion, seven hundred nine million, four hundred ten thousand, four hundred nine".