338129645 has 24 divisors (see below), whose sum is σ = 474953184. Its totient is φ = 230410656.

The previous prime is 338129621. The next prime is 338129651. The reversal of 338129645 is 546921833.

It is not a de Polignac number, because 338129645 - 2⁶ = 338129581 is a prime.

It is a super-3 number, since 3×338129645³ (a number of 27 digits) contains 333 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35702 + ... + 44168.

It is an arithmetic number, because the mean of its divisors is an integer number (19789716).

Almost surely, 2^338129645 is an apocalyptic number.

338129645 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

338129645 is a deficient number, since it is larger than the sum of its proper divisors (136823539).

338129645 is a wasteful number, since it uses less digits than its factorization.

338129645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8649 (or 8642 counting only the distinct ones).

The product of its digits is 155520, while the sum is 41.

The square root of 338129645 is about 18388.3018519928. The cubic root of 338129645 is about 696.6710269130.

The spelling of 338129645 in words is "three hundred thirty-eight million, one hundred twenty-nine thousand, six hundred forty-five".