1338388400 has 60 divisors (see below), whose sum is σ = 3355304592. Its totient is φ = 512075520.

The previous prime is 1338388399. The next prime is 1338388417. The reversal of 1338388400 is 48838331.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63539 + ... + 81938.

Almost surely, 2^1338388400 is an apocalyptic number.

1338388400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1338388400 is an abundant number, since it is smaller than the sum of its proper divisors (2016916192).

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

1338388400 is a wasteful number, since it uses less digits than its factorization.

1338388400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145518 (or 145507 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 1338388400 is about 36583.9910343308. The cubic root of 1338388400 is about 1102.0316173462.

The spelling of 1338388400 in words is "one billion, three hundred thirty-eight million, three hundred eighty-eight thousand, four hundred".