338100408 has 48 divisors (see below), whose sum is σ = 927295200. Its totient is φ = 111271680.

The previous prime is 338100401. The next prime is 338100431. The reversal of 338100408 is 804001833.

338100408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×338100408² = 228623771779532928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338100401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24033 + ... + 35408.

It is an arithmetic number, because the mean of its divisors is an integer number (19318650).

Almost surely, 2^338100408 is an apocalyptic number.

It is an amenable number.

338100408 is an abundant number, since it is smaller than the sum of its proper divisors (589194792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

338100408 is a wasteful number, since it uses less digits than its factorization.

338100408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59532 (or 59525 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 338100408 is about 18387.5068456819. The cubic root of 338100408 is about 696.6509466881.

The spelling of 338100408 in words is "three hundred thirty-eight million, one hundred thousand, four hundred eight".