38090938561 has 9 divisors (see below), whose sum is σ = 41249148489. Its totient is φ = 35158524336.

The previous prime is 38090938553. The next prime is 38090938609. The reversal of 38090938561 is 16583909083.

The square root of 38090938561 is 195169.

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

It can be written as a sum of positive squares in 4 ways, for example, as 857376961 + 37233561600 = 29281^2 + 192960^2 .

It is not a de Polignac number, because 38090938561 - 2³ = 38090938553 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 38090938499 and 38090938508.

It is not an unprimeable number, because it can be changed into a prime (38090938661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2529691 + ... + 2544703.

It is an arithmetic number, because the mean of its divisors is an integer number (4583238721).

Almost surely, 2^38090938561 is an apocalyptic number.

38090938561 is the 195169-th square number.

38090938561 is the 97585-th centered octagonal number.

It is an amenable number.

38090938561 is a deficient number, since it is larger than the sum of its proper divisors (3158209928).

38090938561 is an frugal number, since it uses more digits than its factorization.

38090938561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30052 (or 15026 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 52.

The spelling of 38090938561 in words is "thirty-eight billion, ninety million, nine hundred thirty-eight thousand, five hundred sixty-one".