38670042609 has 81 divisors (see below), whose sum is σ = 63078973867. Its totient is φ = 22811052000.

The previous prime is 38670042589. The next prime is 38670042641. The reversal of 38670042609 is 90624007683.

The square root of 38670042609 is 196647.

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

38670042609 is a `hidden beast` number, since 38 + 6 + 7 + 0 + 0 + 4 + 2 + 609 = 666.

It can be written as a sum of positive squares in only one way, i.e., 37153719009 + 1516323600 = 192753^2 + 38940^2 .

It is not a de Polignac number, because 38670042609 - 2¹⁵ = 38670009841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38670042679) 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, 382871659 + ... + 382871759.

Almost surely, 2^38670042609 is an apocalyptic number.

38670042609 is the 196647-th square number.

38670042609 is the 98324-th centered octagonal number.

It is an amenable number.

38670042609 is a deficient number, since it is larger than the sum of its proper divisors (24408931258).

38670042609 is a wasteful number, since it uses less digits than its factorization.

38670042609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 38670042609 in words is "thirty-eight billion, six hundred seventy million, forty-two thousand, six hundred nine".