1338045930 has 192 divisors, whose sum is σ = 4116752640. Its totient is φ = 298349568.

The previous prime is 1338045923. The next prime is 1338045931. The reversal of 1338045930 is 395408331.

It is not an unprimeable number, because it can be changed into a prime (1338045931) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 509982 + ... + 512598.

It is an arithmetic number, because the mean of its divisors is an integer number (21441420).

Almost surely, 2^1338045930 is an apocalyptic number.

1338045930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1338045930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2058376320).

1338045930 is an abundant number, since it is smaller than the sum of its proper divisors (2778706710).

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

1338045930 is a wasteful number, since it uses less digits than its factorization.

1338045930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2685 (or 2682 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1338045930 is about 36579.3101356491. The cubic root of 1338045930 is about 1101.9376125058.

The spelling of 1338045930 in words is "one billion, three hundred thirty-eight million, forty-five thousand, nine hundred thirty".