37981722321 has 27 divisors (see below), whose sum is σ = 55335221851. Its totient is φ = 25104821424.

The previous prime is 37981722301. The next prime is 37981722329. The reversal of 37981722321 is 12322718973.

The square root of 37981722321 is 194889.

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

It can be written as a sum of positive squares in only one way, i.e., 8966006721 + 29015715600 = 94689^2 + 170340^2 .

It is not a de Polignac number, because 37981722321 - 2¹⁹ = 37981198033 is a prime.

It is a super-2 number, since 2×37981722321² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (37981722329) 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 26 ways as a sum of consecutive naturals, for example, 97639195 + ... + 97639583.

Almost surely, 2^37981722321 is an apocalyptic number.

37981722321 is the 194889-th square number.

37981722321 is the 97445-th centered octagonal number.

It is an amenable number.

37981722321 is a deficient number, since it is larger than the sum of its proper divisors (17353499530).

37981722321 is an frugal number, since it uses more digits than its factorization.

37981722321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 559 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The spelling of 37981722321 in words is "thirty-seven billion, nine hundred eighty-one million, seven hundred twenty-two thousand, three hundred twenty-one".