3408303053281 has 9 divisors (see below), whose sum is σ = 3964775727699. Its totient is φ = 2921391540144.

The previous prime is 3408303053257. The next prime is 3408303053293. The reversal of 3408303053281 is 1823503038043.

The square root of 3408303053281 is 1846159.

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

3408303053281 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 47622150625 + 3360680902656 = 218225^2 + 1833216^2 .

It is not a de Polignac number, because 3408303053281 - 2⁷ = 3408303053153 is a prime.

It is a super-3 number, since 3×3408303053281³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3408303053231) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12791245 + ... + 13054981.

It is an arithmetic number, because the mean of its divisors is an integer number (440530636411).

Almost surely, 2^{3408303053281} is an apocalyptic number.

3408303053281 is the 1846159-th square number.

3408303053281 is the 923080-th centered octagonal number.

It is an amenable number.

3408303053281 is a deficient number, since it is larger than the sum of its proper divisors (556472674418).

3408303053281 is an frugal number, since it uses more digits than its factorization.

3408303053281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527488 (or 263744 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 3408303053281 in words is "three trillion, four hundred eight billion, three hundred three million, fifty-three thousand, two hundred eighty-one".