338223600 has 600 divisors, whose sum is σ = 1445605392. Its totient is φ = 74649600.

The previous prime is 338223583. The next prime is 338223601. The reversal of 338223600 is 6322833.

338223600 is a `hidden beast` number, since 3 + 38 + 2 + 23 + 600 = 666.

338223600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×338223600² = 228790407193920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338223601) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4633164 + ... + 4633236.

Almost surely, 2^338223600 is an apocalyptic number.

338223600 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 338223600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722802696).

338223600 is an abundant number, since it is smaller than the sum of its proper divisors (1107381792).

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

338223600 is a wasteful number, since it uses less digits than its factorization.

338223600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 338223600 is about 18390.8564237776. The cubic root of 338223600 is about 696.7355481852.

The spelling of 338223600 in words is "three hundred thirty-eight million, two hundred twenty-three thousand, six hundred".