338437020241 has 16 divisors (see below), whose sum is σ = 348203847168. Its totient is φ = 328703356800.

The previous prime is 338437020227. The next prime is 338437020247. The reversal of 338437020241 is 142020734833.

It is a cyclic number.

It is not a de Polignac number, because 338437020241 - 2⁷ = 338437020113 is a prime.

It is a super-3 number, since 3×338437020241³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 338437020241.

It is not an unprimeable number, because it can be changed into a prime (338437020247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87201621 + ... + 87205501.

It is an arithmetic number, because the mean of its divisors is an integer number (21762740448).

Almost surely, 2^338437020241 is an apocalyptic number.

It is an amenable number.

338437020241 is a deficient number, since it is larger than the sum of its proper divisors (9766826927).

338437020241 is a wasteful number, since it uses less digits than its factorization.

338437020241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7512.

The product of its (nonzero) digits is 96768, while the sum is 37.

The spelling of 338437020241 in words is "three hundred thirty-eight billion, four hundred thirty-seven million, twenty thousand, two hundred forty-one".