338239200 has 288 divisors, whose sum is σ = 1221859296. Its totient is φ = 80732160.

The previous prime is 338239189. The next prime is 338239241. The reversal of 338239200 is 2932833.

It is a super-2 number, since 2×338239200² = 228811512833280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1154254 + ... + 1154546.

It is an arithmetic number, because the mean of its divisors is an integer number (4242567).

Almost surely, 2^338239200 is an apocalyptic number.

338239200 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 338239200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610929648).

338239200 is an abundant number, since it is smaller than the sum of its proper divisors (883620096).

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

338239200 is a wasteful number, since it uses less digits than its factorization.

338239200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 338239200 is about 18391.2805426920. The cubic root of 338239200 is about 696.7462599426.

The spelling of 338239200 in words is "three hundred thirty-eight million, two hundred thirty-nine thousand, two hundred".