338508104 has 64 divisors (see below), whose sum is σ = 733320000. Its totient is φ = 144875520.

The previous prime is 338508067. The next prime is 338508119. The reversal of 338508104 is 401805833.

It is a happy number.

It is a super-2 number, since 2×338508104² = 229175472947349632, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 322172 + ... + 323220.

It is an arithmetic number, because the mean of its divisors is an integer number (11458125).

Almost surely, 2^338508104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338508104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366660000).

338508104 is an abundant number, since it is smaller than the sum of its proper divisors (394811896).

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

338508104 is a wasteful number, since it uses less digits than its factorization.

338508104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 338508104 is about 18398.5897285634. The cubic root of 338508104 is about 696.9308514266.

The spelling of 338508104 in words is "three hundred thirty-eight million, five hundred eight thousand, one hundred four".