338340000 has 120 divisors (see below), whose sum is σ = 1110019680. Its totient is φ = 90208000.

The previous prime is 338339987. The next prime is 338340007. The reversal of 338340000 is 43833.

338340000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×338340000² = 228947911200000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338340007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 57181 + ... + 62819.

It is an arithmetic number, because the mean of its divisors is an integer number (9250164).

Almost surely, 2^338340000 is an apocalyptic number.

338340000 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 338340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555009840).

338340000 is an abundant number, since it is smaller than the sum of its proper divisors (771679680).

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

338340000 is an equidigital number, since it uses as much as digits as its factorization.

338340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5672 (or 5649 counting only the distinct ones).

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

The square root of 338340000 is about 18394.0207676299. The cubic root of 338340000 is about 696.8154664366.

Adding to 338340000 its reverse (43833), we get a palindrome (338383833).

The spelling of 338340000 in words is "three hundred thirty-eight million, three hundred forty thousand".