37822859361 has 81 divisors (see below), whose sum is σ = 66186639441. Its totient is φ = 21613062492.

The previous prime is 37822859351. The next prime is 37822859387. The reversal of 37822859361 is 16395822873.

The square root of 37822859361 is 194481.

It is a perfect power (a square, a biquadrate, a 8-th power), and thus also a powerful number.

37822859361 is a `hidden beast` number, since 3 + 7 + 8 + 228 + 59 + 361 = 666.

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 37822859361 - 2¹⁷ = 37822728289 is a prime.

Its product of digits (4354560) is a multiple of the sum of its prime divisors (10).

It is an enlightened number because it begins with the concatenation of its prime factors (37).

It is a junction number, because it is equal to n+sod(n) for n = 37822859298 and 37822859307.

It is not an unprimeable number, because it can be changed into a prime (37822859311) 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, 5403265620 + ... + 5403265626.

Almost surely, 2^37822859361 is an apocalyptic number.

37822859361 is the 194481-st square number.

37822859361 is the 97241-st centered octagonal number.

It is an amenable number.

37822859361 is a deficient number, since it is larger than the sum of its proper divisors (28363780080).

37822859361 is an frugal number, since it uses more digits than its factorization.

37822859361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 10 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 37822859361 in words is "thirty-seven billion, eight hundred twenty-two million, eight hundred fifty-nine thousand, three hundred sixty-one".