3641765372281 has 27 divisors (see below), whose sum is σ = 3928880800719. Its totient is φ = 3375107159328.

The previous prime is 3641765372257. The next prime is 3641765372317. The reversal of 3641765372281 is 1822735671463.

The square root of 3641765372281 is 1908341.

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., 165091879225 + 3476673493056 = 406315^2 + 1864584^2 .

It is not a de Polignac number, because 3641765372281 - 2⁷ = 3641765372153 is a prime.

It is a super-2 number, since 2×3641765372281² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3641765372221) 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, 1704147445 + ... + 1704149581.

Almost surely, 2^{3641765372281} is an apocalyptic number.

3641765372281 is the 1908341-st square number.

3641765372281 is the 954171-st centered octagonal number.

It is an amenable number.

3641765372281 is a deficient number, since it is larger than the sum of its proper divisors (287115428438).

3641765372281 is an frugal number, since it uses more digits than its factorization.

3641765372281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4406 (or 2203 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 55.

The spelling of 3641765372281 in words is "three trillion, six hundred forty-one billion, seven hundred sixty-five million, three hundred seventy-two thousand, two hundred eighty-one".