1338183840 has 192 divisors, whose sum is σ = 4897186560. Its totient is φ = 300810240.

The previous prime is 1338183839. The next prime is 1338183863. The reversal of 1338183840 is 483818331.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201696 + ... + 208224.

It is an arithmetic number, because the mean of its divisors is an integer number (25506180).

Almost surely, 2^1338183840 is an apocalyptic number.

1338183840 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 1338183840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2448593280).

1338183840 is an abundant number, since it is smaller than the sum of its proper divisors (3559002720).

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

1338183840 is a wasteful number, since it uses less digits than its factorization.

1338183840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6615 (or 6607 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 1338183840 is about 36581.1951691029. The cubic root of 1338183840 is about 1101.9754694513.

The spelling of 1338183840 in words is "one billion, three hundred thirty-eight million, one hundred eighty-three thousand, eight hundred forty".