1338715680 has 192 divisors, whose sum is σ = 4465238400. Its totient is φ = 336199680.

The previous prime is 1338715673. The next prime is 1338715709. The reversal of 1338715680 is 865178331.

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, 2088160 + ... + 2088800.

It is an arithmetic number, because the mean of its divisors is an integer number (23256450).

Almost surely, 2^1338715680 is an apocalyptic number.

1338715680 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 1338715680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232619200).

1338715680 is an abundant number, since it is smaller than the sum of its proper divisors (3126522720).

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

1338715680 is a wasteful number, since it uses less digits than its factorization.

1338715680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 1338715680 is about 36588.4637556703. The cubic root of 1338715680 is about 1102.1214376886.

The spelling of 1338715680 in words is "one billion, three hundred thirty-eight million, seven hundred fifteen thousand, six hundred eighty".