338606400 has 336 divisors, whose sum is σ = 1244973888. Its totient is φ = 80537600.

The previous prime is 338606383. The next prime is 338606419. The reversal of 338606400 is 4606833.

It is a super-3 number, since 3×338606400³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6388774 + ... + 6388826.

Almost surely, 2^338606400 is an apocalyptic number.

338606400 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 338606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622486944).

338606400 is an abundant number, since it is smaller than the sum of its proper divisors (906367488).

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

338606400 is a wasteful number, since it uses less digits than its factorization.

338606400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 338606400 is about 18401.2608263673. The cubic root of 338606400 is about 696.9983031699.

The spelling of 338606400 in words is "three hundred thirty-eight million, six hundred six thousand, four hundred".