3729135623409 has 27 divisors (see below), whose sum is σ = 6266030718987. Its totient is φ = 2130911468784.

The previous prime is 3729135623383. The next prime is 3729135623431. The reversal of 3729135623409 is 9043265319273.

The square root of 3729135623409 is 1931097.

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

3729135623409 is a `hidden beast` number, since 3 + 7 + 2 + 9 + 1 + 3 + 5 + 623 + 4 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1918959120225 + 1810176503184 = 1385265^2 + 1345428^2 .

It is not a de Polignac number, because 3729135623409 - 2¹⁷ = 3729135492337 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3729135623509) 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, 40507059 + ... + 40599015.

Almost surely, 2^{3729135623409} is an apocalyptic number.

3729135623409 is the 1931097-th square number.

3729135623409 is the 965549-th centered octagonal number.

It is an amenable number.

3729135623409 is a deficient number, since it is larger than the sum of its proper divisors (2536895095578).

3729135623409 is an frugal number, since it uses more digits than its factorization.

3729135623409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183934 (or 91967 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 3729135623409 in words is "three trillion, seven hundred twenty-nine billion, one hundred thirty-five million, six hundred twenty-three thousand, four hundred nine".