338018400 has 144 divisors (see below), whose sum is σ = 1222578000. Its totient is φ = 90132480.

The previous prime is 338018381. The next prime is 338018411. The reversal of 338018400 is 4810833.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×338018400² = 228512877477120000, 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13776 + ... + 29424.

It is an arithmetic number, because the mean of its divisors is an integer number (8490125).

Almost surely, 2^338018400 is an apocalyptic number.

338018400 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 338018400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611289000).

338018400 is an abundant number, since it is smaller than the sum of its proper divisors (884559600).

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

338018400 is a wasteful number, since it uses less digits than its factorization.

338018400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15678 (or 15659 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 338018400 is about 18385.2767180698. The cubic root of 338018400 is about 696.5946167052.

The spelling of 338018400 in words is "three hundred thirty-eight million, eighteen thousand, four hundred".