3542349344769 has 27 divisors (see below), whose sum is σ = 5349061768323. Its totient is φ = 2258806624272.

The previous prime is 3542349344749. The next prime is 3542349344789. The reversal of 3542349344769 is 9674439432453.

It is a happy number.

The square root of 3542349344769 is 1882113.

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

3542349344769 is a `hidden beast` number, since 3 + 5 + 42 + 3 + 4 + 93 + 447 + 69 = 666.

It is an interprime number because it is at equal distance from previous prime (3542349344749) and next prime (3542349344789).

It can be written as a sum of positive squares in only one way, i.e., 742121946225 + 2800227398544 = 861465^2 + 1673388^2 .

It is not a de Polignac number, because 3542349344769 - 2⁹ = 3542349344257 is a prime.

It is a super-3 number, since 3×3542349344769³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (3542349344749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 129852159 + ... + 129879435.

Almost surely, 2^{3542349344769} is an apocalyptic number.

3542349344769 is the 1882113-rd square number.

3542349344769 is the 941057-th centered octagonal number.

It is an amenable number.

3542349344769 is a deficient number, since it is larger than the sum of its proper divisors (1806712423554).

3542349344769 is an frugal number, since it uses more digits than its factorization.

3542349344769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54606 (or 27303 counting only the distinct ones).

The product of its digits is 235146240, while the sum is 63.

The spelling of 3542349344769 in words is "three trillion, five hundred forty-two billion, three hundred forty-nine million, three hundred forty-four thousand, seven hundred sixty-nine".