1338133824 has 224 divisors, whose sum is σ = 4224528000. Its totient is φ = 414056448.

The previous prime is 1338133807. The next prime is 1338133829. The reversal of 1338133824 is 4283318331.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1338133829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1739712 + ... + 1740480.

It is an arithmetic number, because the mean of its divisors is an integer number (18859500).

Almost surely, 2^1338133824 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 1338133824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2112264000).

1338133824 is an abundant number, since it is smaller than the sum of its proper divisors (2886394176).

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

1338133824 is a wasteful number, since it uses less digits than its factorization.

1338133824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 846 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 1338133824 is about 36580.5115327820. The cubic root of 1338133824 is about 1101.9617401240.

The spelling of 1338133824 in words is "one billion, three hundred thirty-eight million, one hundred thirty-three thousand, eight hundred twenty-four".