338108408 has 64 divisors (see below), whose sum is σ = 706860000. Its totient is φ = 150336000.

The previous prime is 338108399. The next prime is 338108411. The reversal of 338108408 is 804801833.

It is a super-2 number, since 2×338108408² = 228634591120588928, which contains 22 as substring.

It is a congruent number.

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, 968618 + ... + 968966.

Almost surely, 2^338108408 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 338108408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353430000).

338108408 is an abundant number, since it is smaller than the sum of its proper divisors (368751592).

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

338108408 is a wasteful number, since it uses less digits than its factorization.

338108408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 338108408 is about 18387.7243834032. The cubic root of 338108408 is about 696.6564412725.

The spelling of 338108408 in words is "three hundred thirty-eight million, one hundred eight thousand, four hundred eight".