338784000 has 144 divisors (see below), whose sum is σ = 1125589920. Its totient is φ = 90316800.

The previous prime is 338783999. The next prime is 338784029. The reversal of 338784000 is 487833.

It is a super-2 number, since 2×338784000² = 229549197312000000, 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, 94236 + ... + 97764.

Almost surely, 2^338784000 is an apocalyptic number.

338784000 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 338784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562794960).

338784000 is an abundant number, since it is smaller than the sum of its proper divisors (786805920).

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

338784000 is an equidigital number, since it uses as much as digits as its factorization.

338784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3563 (or 3539 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 338784000 is about 18406.0859500329. The cubic root of 338784000 is about 697.1201410548.

The spelling of 338784000 in words is "three hundred thirty-eight million, seven hundred eighty-four thousand".