3782585442769 has 27 divisors (see below), whose sum is σ = 4442632009137. Its totient is φ = 3211210705248.

The previous prime is 3782585442767. The next prime is 3782585442773. The reversal of 3782585442769 is 9672445852873.

The square root of 3782585442769 is 1944887.

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

3782585442769 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1606016340369 + 2176569102400 = 1267287^2 + 1475320^2 .

It is not a de Polignac number, because 3782585442769 - 2¹ = 3782585442767 is a prime.

It is a super-2 number, since 2×3782585442769² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3782585442698 and 3782585442707.

It is not an unprimeable number, because it can be changed into a prime (3782585442763) 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, 1483947507 + ... + 1483950055.

Almost surely, 2^{3782585442769} is an apocalyptic number.

3782585442769 is the 1944887-th square number.

3782585442769 is the 972444-th centered octagonal number.

It is an amenable number.

3782585442769 is a deficient number, since it is larger than the sum of its proper divisors (660046566368).

3782585442769 is an frugal number, since it uses more digits than its factorization.

3782585442769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5330 (or 2665 counting only the distinct ones).

The product of its digits is 812851200, while the sum is 70.

The spelling of 3782585442769 in words is "three trillion, seven hundred eighty-two billion, five hundred eighty-five million, four hundred forty-two thousand, seven hundred sixty-nine".