3793079541889 has 27 divisors (see below), whose sum is σ = 4213344664137. Its totient is φ = 3412165416000.

The previous prime is 3793079541877. The next prime is 3793079541893. The reversal of 3793079541889 is 9881459703973.

The square root of 3793079541889 is 1947583.

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 3469799025 + 3789609742864 = 58905^2 + 1946692^2 .

It is not a de Polignac number, because 3793079541889 - 2²⁹ = 3792542670977 is a prime.

It is a super-2 number, since 2×3793079541889² (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 (3793079541869) 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, 2163763837 + ... + 2163765589.

Almost surely, 2^{3793079541889} is an apocalyptic number.

3793079541889 is the 1947583-rd square number.

3793079541889 is the 973792-nd centered octagonal number.

It is an amenable number.

3793079541889 is a deficient number, since it is larger than the sum of its proper divisors (420265122248).

3793079541889 is an frugal number, since it uses more digits than its factorization.

3793079541889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3730 (or 1865 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 73.

The spelling of 3793079541889 in words is "three trillion, seven hundred ninety-three billion, seventy-nine million, five hundred forty-one thousand, eight hundred eighty-nine".