1138327344 has 600 divisors, whose sum is σ = 4454027424. Its totient is φ = 273715200.

The previous prime is 1138327319. The next prime is 1138327381. The reversal of 1138327344 is 4437238311.

1138327344 is a `hidden beast` number, since 1 + 1 + 383 + 273 + 4 + 4 = 666.

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 junction number, because it is equal to n+sod(n) for n = 1138327299 and 1138327308.

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 119 ways as a sum of consecutive naturals, for example, 18661074 + ... + 18661134.

Almost surely, 2^1138327344 is an apocalyptic number.

1138327344 is a gapful number since it is divisible by the number (14) 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 1138327344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2227013712).

1138327344 is an abundant number, since it is smaller than the sum of its proper divisors (3315700080).

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

1138327344 is a wasteful number, since it uses less digits than its factorization.

1138327344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 101 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 1138327344 is about 33739.1070421255. The cubic root of 1138327344 is about 1044.1327615549.

The spelling of 1138327344 in words is "one billion, one hundred thirty-eight million, three hundred twenty-seven thousand, three hundred forty-four".