1338365600 has 144 divisors (see below), whose sum is σ = 3838816800. Its totient is φ = 449203200.

The previous prime is 1338365599. The next prime is 1338365603. The reversal of 1338365600 is 65638331.

It is not an unprimeable number, because it can be changed into a prime (1338365603) 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, 108551 + ... + 120249.

It is an arithmetic number, because the mean of its divisors is an integer number (26658450).

Almost surely, 2^1338365600 is an apocalyptic number.

1338365600 is a gapful number since it is divisible by the number (10) 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 1338365600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1919408400).

1338365600 is an abundant number, since it is smaller than the sum of its proper divisors (2500451200).

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

1338365600 is a wasteful number, since it uses less digits than its factorization.

1338365600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11743 (or 11730 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 35.

The square root of 1338365600 is about 36583.6794212939. The cubic root of 1338365600 is about 1102.0253594559.

The spelling of 1338365600 in words is "one billion, three hundred thirty-eight million, three hundred sixty-five thousand, six hundred".