338226400 has 72 divisors (see below), whose sum is σ = 832446720. Its totient is φ = 134184960.

The previous prime is 338226379. The next prime is 338226419. The reversal of 338226400 is 4622833.

338226400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×338226400² = 228794195313920000, 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 11 ways as a sum of consecutive naturals, for example, 99936 + ... + 103264.

It is an arithmetic number, because the mean of its divisors is an integer number (11561760).

Almost surely, 2^338226400 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 338226400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416223360).

338226400 is an abundant number, since it is smaller than the sum of its proper divisors (494220320).

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

338226400 is a wasteful number, since it uses less digits than its factorization.

338226400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3476 (or 3463 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 338226400 is about 18390.9325484055. The cubic root of 338226400 is about 696.7374708326.

The spelling of 338226400 in words is "three hundred thirty-eight million, two hundred twenty-six thousand, four hundred".