338421600 has 216 divisors, whose sum is σ = 1302151032. Its totient is φ = 82022400.

The previous prime is 338421593. The next prime is 338421661. The reversal of 338421600 is 6124833.

It is a happy number.

338421600 is a `hidden beast` number, since 3 + 38 + 4 + 21 + 600 = 666.

It is a super-2 number, since 2×338421600² = 229058358693120000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 77064 + ... + 81336.

It is an arithmetic number, because the mean of its divisors is an integer number (6028477).

Almost surely, 2^338421600 is an apocalyptic number.

338421600 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 338421600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651075516).

338421600 is an abundant number, since it is smaller than the sum of its proper divisors (963729432).

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

338421600 is a wasteful number, since it uses less digits than its factorization.

338421600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4310 (or 4294 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 338421600 is about 18396.2387460046. The cubic root of 338421600 is about 696.8714806742.

The spelling of 338421600 in words is "three hundred thirty-eight million, four hundred twenty-one thousand, six hundred".