37609285634881 has 9 divisors (see below), whose sum is σ = 37657433177769. Its totient is φ = 37561199596800.

The previous prime is 37609285634831. The next prime is 37609285634911. The reversal of 37609285634881 is 18843658290673.

The square root of 37609285634881 is 6132641.

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 101500225281 + 37507785409600 = 318591^2 + 6124360^2 .

It is not a de Polignac number, because 37609285634881 - 2²³ = 37609277246273 is a prime.

It is a super-2 number, since 2×37609285634881² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 37609285634881.

It is not an unprimeable number, because it can be changed into a prime (37609285634831) 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, 5402853241 + ... + 5402860201.

It is a 1-persistent number, because it is pandigital, but 2⋅37609285634881 = 75218571269762 is not.

Almost surely, 2^{37609285634881} is an apocalyptic number.

37609285634881 is the 6132641-st square number.

37609285634881 is the 3066321-st centered octagonal number.

It is an amenable number.

37609285634881 is a deficient number, since it is larger than the sum of its proper divisors (48147542888).

37609285634881 is an frugal number, since it uses more digits than its factorization.

37609285634881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15684 (or 7842 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 70.

The spelling of 37609285634881 in words is "thirty-seven trillion, six hundred nine billion, two hundred eighty-five million, six hundred thirty-four thousand, eight hundred eighty-one".