8038338 has 64 divisors (see below), whose sum is σ = 20348928. Its totient is φ = 2056320.

The previous prime is 8038319. The next prime is 8038343. The reversal of 8038338 is 8338308.

It is a happy number.

It is a super-2 number, since 2×8038338² = 129229755604488, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 8038299 and 8038308.

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 31 ways as a sum of consecutive naturals, for example, 58606 + ... + 58742.

It is an arithmetic number, because the mean of its divisors is an integer number (317952).

Almost surely, 2^8038338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8038338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10174464).

8038338 is an abundant number, since it is smaller than the sum of its proper divisors (12310590).

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

8038338 is a wasteful number, since it uses less digits than its factorization.

8038338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287.

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 8038338 is about 2835.1962895010. The cubic root of 8038338 is about 200.3189743397.

The spelling of 8038338 in words is "eight million, thirty-eight thousand, three hundred thirty-eight".