338031408 has 200 divisors, whose sum is σ = 1062414640. Its totient is φ = 91998720.

The previous prime is 338031389. The next prime is 338031427. The reversal of 338031408 is 804130833.

It is an interprime number because it is at equal distance from previous prime (338031389) and next prime (338031427).

It is a super-2 number, since 2×338031408² = 228530465588924928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9135966 + ... + 9136002.

Almost surely, 2^338031408 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 338031408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531207320).

338031408 is an abundant number, since it is smaller than the sum of its proper divisors (724383232).

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

338031408 is a wasteful number, since it uses less digits than its factorization.

338031408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 338031408 is about 18385.6304759995. The cubic root of 338031408 is about 696.6035523002.

The spelling of 338031408 in words is "three hundred thirty-eight million, thirty-one thousand, four hundred eight".