338449200 has 120 divisors (see below), whose sum is σ = 1096693200. Its totient is φ = 89210880.

The previous prime is 338449129. The next prime is 338449201. The reversal of 338449200 is 2944833.

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

It is a super-2 number, since 2×338449200² = 229095721961280000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338449201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 105216 + ... + 108384.

It is an arithmetic number, because the mean of its divisors is an integer number (9139110).

Almost surely, 2^338449200 is an apocalyptic number.

338449200 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 338449200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548346600).

338449200 is an abundant number, since it is smaller than the sum of its proper divisors (758244000).

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

338449200 is a wasteful number, since it uses less digits than its factorization.

338449200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3279 (or 3268 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 338449200 is about 18396.9888840538. The cubic root of 338449200 is about 696.8904246286.

It can be divided in two parts, 3 and 38449200, that multiplied together give a square (115347600 = 10740²).

The spelling of 338449200 in words is "three hundred thirty-eight million, four hundred forty-nine thousand, two hundred".