38072836561761 has 15 divisors (see below), whose sum is σ = 56874320289633. Its totient is φ = 25381854019260.

The previous prime is 38072836561649. The next prime is 38072836561801. The reversal of 38072836561761 is 16716563827083.

It is a happy number.

The square root of 38072836561761 is 6170319.

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

38072836561761 is a `hidden beast` number, since 3 + 8 + 0 + 7 + 2 + 8 + 3 + 6 + 5 + 617 + 6 + 1 = 666.

It is not a de Polignac number, because 38072836561761 - 2¹¹ = 38072836559713 is a prime.

It is a super-2 number, since 2×38072836561761² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38072836561261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 55190076 + ... + 55875666.

Almost surely, 2^{38072836561761} is an apocalyptic number.

38072836561761 is the 6170319-th square number.

38072836561761 is the 3085160-th centered octagonal number.

It is an amenable number.

38072836561761 is a deficient number, since it is larger than the sum of its proper divisors (18801483727872).

38072836561761 is an frugal number, since it uses more digits than its factorization.

38072836561761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371194 (or 685594 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 38072836561761 in words is "thirty-eight trillion, seventy-two billion, eight hundred thirty-six million, five hundred sixty-one thousand, seven hundred sixty-one".