338059008 has 360 divisors, whose sum is σ = 1228705632. Its totient is φ = 90243072.

The previous prime is 338058997. The next prime is 338059013. The reversal of 338059008 is 800950833.

It is a super-2 number, since 2×338059008² = 228567785779888128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2467516 + ... + 2467652.

Almost surely, 2^338059008 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 338059008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614352816).

338059008 is an abundant number, since it is smaller than the sum of its proper divisors (890646624).

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

338059008 is a wasteful number, since it uses less digits than its factorization.

338059008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 338059008 is about 18386.3810468510. The cubic root of 338059008 is about 696.6225108292.

The spelling of 338059008 in words is "three hundred thirty-eight million, fifty-nine thousand, eight".