338918400 has 198 divisors, whose sum is σ = 1214313152. Its totient is φ = 90316800.

The previous prime is 338918357. The next prime is 338918401. The reversal of 338918400 is 4819833.

It is a super-2 number, since 2×338918400² = 229731363717120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338918401) 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 17 ways as a sum of consecutive naturals, for example, 229665 + ... + 231135.

Almost surely, 2^338918400 is an apocalyptic number.

338918400 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 338918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607156576).

338918400 is an abundant number, since it is smaller than the sum of its proper divisors (875394752).

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

338918400 is a wasteful number, since it uses less digits than its factorization.

338918400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 338918400 is about 18409.7365543345. The cubic root of 338918400 is about 697.2123143962.

The spelling of 338918400 in words is "three hundred thirty-eight million, nine hundred eighteen thousand, four hundred".