3780998581441 has 27 divisors (see below), whose sum is σ = 4133991023721. Its totient is φ = 3457501443648.

The previous prime is 3780998581391. The next prime is 3780998581457. The reversal of 3780998581441 is 1441858990873.

The square root of 3780998581441 is 1944479.

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 716188145841 + 3064810435600 = 846279^2 + 1750660^2 .

It is not a de Polignac number, because 3780998581441 - 2¹⁵ = 3780998548673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3780998581741) 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, 1071406165 + ... + 1071409693.

Almost surely, 2^{3780998581441} is an apocalyptic number.

3780998581441 is the 1944479-th square number.

3780998581441 is the 972240-th centered octagonal number.

It is an amenable number.

3780998581441 is a deficient number, since it is larger than the sum of its proper divisors (352992442280).

3780998581441 is an frugal number, since it uses more digits than its factorization.

3780998581441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7154 (or 3577 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 67.

The spelling of 3780998581441 in words is "three trillion, seven hundred eighty billion, nine hundred ninety-eight million, five hundred eighty-one thousand, four hundred forty-one".