338034753 has 12 divisors (see below), whose sum is σ = 558025728. Its totient is φ = 193162680.

The previous prime is 338034751. The next prime is 338034761. The reversal of 338034753 is 357430833.

It is a happy number.

It is not a de Polignac number, because 338034753 - 2¹ = 338034751 is a prime.

It is a super-3 number, since 3×338034753³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (338034751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2682753 + ... + 2682878.

It is an arithmetic number, because the mean of its divisors is an integer number (46502144).

Almost surely, 2^338034753 is an apocalyptic number.

It is an amenable number.

338034753 is a deficient number, since it is larger than the sum of its proper divisors (219990975).

338034753 is a wasteful number, since it uses less digits than its factorization.

338034753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5365644 (or 5365641 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 338034753 is about 18385.7214435551. The cubic root of 338034753 is about 696.6058500464.

The spelling of 338034753 in words is "three hundred thirty-eight million, thirty-four thousand, seven hundred fifty-three".