3542590259329 has 27 divisors (see below), whose sum is σ = 3912833047683. Its totient is φ = 3204970995600.

The previous prime is 3542590259323. The next prime is 3542590259353. The reversal of 3542590259329 is 9239520952453.

The square root of 3542590259329 is 1882177.

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., 2374141680625 + 1168448578704 = 1540825^2 + 1080948^2 .

It is a de Polignac number, because none of the positive numbers 2^k-3542590259329 is a prime.

It is a super-3 number, since 3×3542590259329³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3542590259323) 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, 8219466744 + ... + 8219467174.

Almost surely, 2^{3542590259329} is an apocalyptic number.

3542590259329 is the 1882177-th square number.

3542590259329 is the 941089-th centered octagonal number.

It is an amenable number.

3542590259329 is a deficient number, since it is larger than the sum of its proper divisors (370242788354).

3542590259329 is an frugal number, since it uses more digits than its factorization.

3542590259329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 26244000, while the sum is 58.

The spelling of 3542590259329 in words is "three trillion, five hundred forty-two billion, five hundred ninety million, two hundred fifty-nine thousand, three hundred twenty-nine".