338340400 has 60 divisors (see below), whose sum is σ = 824069032. Its totient is φ = 133470720.

The previous prime is 338340389. The next prime is 338340427. The reversal of 338340400 is 4043833.

It is a super-2 number, since 2×338340400² = 228948452544320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 23407 + ... + 34993.

Almost surely, 2^338340400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412034516).

338340400 is an abundant number, since it is smaller than the sum of its proper divisors (485728632).

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

338340400 is a wasteful number, since it uses less digits than its factorization.

338340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11678 (or 11667 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 338340400 is about 18394.0316407252. The cubic root of 338340400 is about 696.8157410381.

The spelling of 338340400 in words is "three hundred thirty-eight million, three hundred forty thousand, four hundred".