338731008 has 224 divisors, whose sum is σ = 1132392960. Its totient is φ = 87490560.

The previous prime is 338731007. The next prime is 338731009. The reversal of 338731008 is 800137833.

It is an interprime number because it is at equal distance from previous prime (338731007) and next prime (338731009).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×338731008² = 229477391561392128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 338731008.

It is not an unprimeable number, because it can be changed into a prime (338731007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1892263 + ... + 1892441.

Almost surely, 2^338731008 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 338731008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566196480).

338731008 is an abundant number, since it is smaller than the sum of its proper divisors (793661952).

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

338731008 is a wasteful number, since it uses less digits than its factorization.

338731008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 338731008 is about 18404.6463698708. The cubic root of 338731008 is about 697.0837917223.

The spelling of 338731008 in words is "three hundred thirty-eight million, seven hundred thirty-one thousand, eight".