338126400 has 210 divisors, whose sum is σ = 1243343970. Its totient is φ = 90132480.

The previous prime is 338126389. The next prime is 338126407. The reversal of 338126400 is 4621833.

It is a happy number.

338126400 is a `hidden beast` number, since 3 + 3 + 8 + 12 + 640 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 19289664 + 318836736 = 4392^2 + 17856^2 .

It is a super-2 number, since 2×338126400² = 228658924753920000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (338126407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 128296 + ... + 130904.

Almost surely, 2^338126400 is an apocalyptic number.

338126400 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 338126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621671985).

338126400 is an abundant number, since it is smaller than the sum of its proper divisors (905217570).

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

338126400 is a wasteful number, since it uses less digits than its factorization.

338126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2643 (or 2619 counting only the distinct ones).

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

The square root of 338126400 is about 18388.2136163359. The cubic root of 338126400 is about 696.6687982760.

The spelling of 338126400 in words is "three hundred thirty-eight million, one hundred twenty-six thousand, four hundred".