338322000 has 160 divisors (see below), whose sum is σ = 1102608000. Its totient is φ = 89241600.

The previous prime is 338321987. The next prime is 338322007. The reversal of 338322000 is 223833.

It is a super-2 number, since 2×338322000² = 228923551368000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338322007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 677751 + ... + 678249.

It is an arithmetic number, because the mean of its divisors is an integer number (6891300).

Almost surely, 2^338322000 is an apocalyptic number.

338322000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551304000).

338322000 is an abundant number, since it is smaller than the sum of its proper divisors (764286000).

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

338322000 is a wasteful number, since it uses less digits than its factorization.

338322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 338322000 is about 18393.5314716886. The cubic root of 338322000 is about 696.8031091423.

Adding to 338322000 its reverse (223833), we get a palindrome (338545833).

The spelling of 338322000 in words is "three hundred thirty-eight million, three hundred twenty-two thousand".