338049600 has 168 divisors, whose sum is σ = 1267651008. Its totient is φ = 77260800.

The previous prime is 338049553. The next prime is 338049601. The reversal of 338049600 is 6940833.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×338049600² = 228555064120320000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338049601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28570 + ... + 38630.

Almost surely, 2^338049600 is an apocalyptic number.

338049600 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 338049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633825504).

338049600 is an abundant number, since it is smaller than the sum of its proper divisors (929601408).

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

338049600 is a wasteful number, since it uses less digits than its factorization.

338049600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10093 (or 10078 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 338049600 is about 18386.1252035332. The cubic root of 338049600 is about 696.6160485596.

The spelling of 338049600 in words is "three hundred thirty-eight million, forty-nine thousand, six hundred".