338245600 has 432 divisors, whose sum is σ = 1151176320. Its totient is φ = 94003200.

The previous prime is 338245597. The next prime is 338245603. The reversal of 338245600 is 6542833.

It is an interprime number because it is at equal distance from previous prime (338245597) and next prime (338245603).

It is a super-2 number, since 2×338245600² = 228820171838720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338245603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17802391 + ... + 17802409.

It is an arithmetic number, because the mean of its divisors is an integer number (2664760).

Almost surely, 2^338245600 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 338245600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575588160).

338245600 is an abundant number, since it is smaller than the sum of its proper divisors (812930720).

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

338245600 is a wasteful number, since it uses less digits than its factorization.

338245600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 338245600 is about 18391.4545373660. The cubic root of 338245600 is about 696.7506544145.

The spelling of 338245600 in words is "three hundred thirty-eight million, two hundred forty-five thousand, six hundred".