3845375887369 has 9 divisors (see below), whose sum is σ = 3952188430407. Its totient is φ = 3741376214664.

The previous prime is 3845375887363. The next prime is 3845375887373. The reversal of 3845375887369 is 9637885735483.

The square root of 3845375887369 is 1960963.

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., 3440895151225 + 404480736144 = 1854965^2 + 635988^2 .

It is not a de Polignac number, because 3845375887369 - 2³ = 3845375887361 is a prime.

It is a super-2 number, since 2×3845375887369² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3845375887295 and 3845375887304.

It is not an unprimeable number, because it can be changed into a prime (3845375887361) 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 8 ways as a sum of consecutive naturals, for example, 72529132 + ... + 72582130.

It is an arithmetic number, because the mean of its divisors is an integer number (439132047823).

Almost surely, 2^{3845375887369} is an apocalyptic number.

3845375887369 is the 1960963-rd square number.

3845375887369 is the 980482-nd centered octagonal number.

It is an amenable number.

3845375887369 is a deficient number, since it is larger than the sum of its proper divisors (106812543038).

3845375887369 is an frugal number, since it uses more digits than its factorization.

3845375887369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106072 (or 53036 counting only the distinct ones).

The product of its digits is 3657830400, while the sum is 76.

The spelling of 3845375887369 in words is "three trillion, eight hundred forty-five billion, three hundred seventy-five million, eight hundred eighty-seven thousand, three hundred sixty-nine".