38036785755609 has 27 divisors (see below), whose sum is σ = 55020574979487. Its totient is φ = 25321654550016.

The previous prime is 38036785755541. The next prime is 38036785755641. The reversal of 38036785755609 is 90655758763083.

The square root of 38036785755609 is 6167397.

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

38036785755609 is a `hidden beast` number, since 3 + 8 + 0 + 3 + 6 + 7 + 8 + 5 + 7 + 5 + 5 + 609 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30060273425625 + 7976512329984 = 5482725^2 + 2824272^2 .

It is not a de Polignac number, because 38036785755609 - 2⁹ = 38036785755097 is a prime.

It is a super-3 number, since 3×38036785755609³ (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (38036785755649) 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, 21333025332 + ... + 21333027114.

Almost surely, 2^{38036785755609} is an apocalyptic number.

38036785755609 is the 6167397-th square number.

38036785755609 is the 3083699-th centered octagonal number.

It is an amenable number.

38036785755609 is a deficient number, since it is larger than the sum of its proper divisors (16983789223878).

38036785755609 is an frugal number, since it uses more digits than its factorization.

38036785755609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5878 (or 2939 counting only the distinct ones).

The product of its (nonzero) digits is 1143072000, while the sum is 72.

The spelling of 38036785755609 in words is "thirty-eight trillion, thirty-six billion, seven hundred eighty-five million, seven hundred fifty-five thousand, six hundred nine".