338193349 has 16 divisors (see below), whose sum is σ = 369452160. Its totient is φ = 307713600.

The previous prime is 338193329. The next prime is 338193397. The reversal of 338193349 is 943391833.

It is a cyclic number.

It is not a de Polignac number, because 338193349 - 2¹⁹ = 337669061 is a prime.

It is a super-4 number, since 4×338193349⁴ (a number of 35 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338193329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 402672 + ... + 403510.

It is an arithmetic number, because the mean of its divisors is an integer number (23090760).

Almost surely, 2^338193349 is an apocalyptic number.

It is an amenable number.

338193349 is a deficient number, since it is larger than the sum of its proper divisors (31258811).

338193349 is a wasteful number, since it uses less digits than its factorization.

338193349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260.

The product of its digits is 209952, while the sum is 43.

The square root of 338193349 is about 18390.0339586418. The cubic root of 338193349 is about 696.7147753636.

The spelling of 338193349 in words is "three hundred thirty-eight million, one hundred ninety-three thousand, three hundred forty-nine".