33840177849 has 27 divisors (see below), whose sum is σ = 51939101487. Its totient is φ = 21227166144.

The previous prime is 33840177841. The next prime is 33840177869. The reversal of 33840177849 is 94877104833.

The square root of 33840177849 is 183957.

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., 26346159225 + 7494018624 = 162315^2 + 86568^2 .

It is not a de Polignac number, because 33840177849 - 2³ = 33840177841 is a prime.

It is a super-2 number, since 2×33840177849² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 33840177795 and 33840177804.

It is not an unprimeable number, because it can be changed into a prime (33840177841) 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, 9380004 + ... + 9383610.

Almost surely, 2^33840177849 is an apocalyptic number.

33840177849 is the 183957-th square number.

33840177849 is the 91979-th centered octagonal number.

It is an amenable number.

33840177849 is a deficient number, since it is larger than the sum of its proper divisors (18098923638).

33840177849 is an frugal number, since it uses more digits than its factorization.

33840177849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7254 (or 3627 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 33840177849 in words is "thirty-three billion, eight hundred forty million, one hundred seventy-seven thousand, eight hundred forty-nine".