338732000 has 96 divisors (see below), whose sum is σ = 876264480. Its totient is φ = 128332800.

The previous prime is 338731999. The next prime is 338732011. The reversal of 338732000 is 237833.

It is a super-2 number, since 2×338732000² = 229478735648000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73772 + ... + 78228.

It is an arithmetic number, because the mean of its divisors is an integer number (9127755).

Almost surely, 2^338732000 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 338732000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438132240).

338732000 is an abundant number, since it is smaller than the sum of its proper divisors (537532480).

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

338732000 is a wasteful number, since it uses less digits than its factorization.

338732000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4501 (or 4483 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 338732000 is about 18404.6733195675. The cubic root of 338732000 is about 697.0844722096.

Adding to 338732000 its reverse (237833), we get a palindrome (338969833).

The spelling of 338732000 in words is "three hundred thirty-eight million, seven hundred thirty-two thousand".