37980855705321 has 27 divisors (see below), whose sum is σ = 55694098144503. Its totient is φ = 24941838010320.

The previous prime is 37980855705307. The next prime is 37980855705337. The reversal of 37980855705321 is 12350755808973.

The square root of 37980855705321 is 6162861.

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

37980855705321 is a `hidden beast` number, since 3 + 7 + 9 + 8 + 0 + 8 + 5 + 570 + 53 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 37802687295321 + 178168410000 = 6148389^2 + 422100^2 .

It is not a de Polignac number, because 37980855705321 - 2¹⁹ = 37980855181033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (37980855705341) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1238719731 + ... + 1238750391.

Almost surely, 2^{37980855705321} is an apocalyptic number.

37980855705321 is the 6162861-st square number.

37980855705321 is the 3081431-st centered octagonal number.

It is an amenable number.

37980855705321 is a deficient number, since it is larger than the sum of its proper divisors (17713242439182).

37980855705321 is an frugal number, since it uses more digits than its factorization.

37980855705321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61462 (or 30731 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 63.

The spelling of 37980855705321 in words is "thirty-seven trillion, nine hundred eighty billion, eight hundred fifty-five million, seven hundred five thousand, three hundred twenty-one".