338368350 has 48 divisors (see below), whose sum is σ = 844767360. Its totient is φ = 89628000.

The previous prime is 338368343. The next prime is 338368411. The reversal of 338368350 is 53863833.

It is a super-2 number, since 2×338368350² = 228986280563445000, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 338368299 and 338368308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15181 + ... + 30119.

It is an arithmetic number, because the mean of its divisors is an integer number (17599320).

Almost surely, 2^338368350 is an apocalyptic number.

338368350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 338368350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422383680).

338368350 is an abundant number, since it is smaller than the sum of its proper divisors (506399010).

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

338368350 is a wasteful number, since it uses less digits than its factorization.

338368350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15105 (or 15100 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 338368350 is about 18394.7913823452. The cubic root of 338368350 is about 696.8349282863.

The spelling of 338368350 in words is "three hundred thirty-eight million, three hundred sixty-eight thousand, three hundred fifty".