1338347520 has 312 divisors, whose sum is σ = 4761067896. Its totient is φ = 347602944.

The previous prime is 1338347501. The next prime is 1338347533. The reversal of 1338347520 is 257438331.

1338347520 is a `hidden beast` number, since 13 + 3 + 83 + 47 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 285474816 + 1052872704 = 16896^2 + 32448^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9768892 + ... + 9769028.

It is an arithmetic number, because the mean of its divisors is an integer number (15259833).

Almost surely, 2^1338347520 is an apocalyptic number.

1338347520 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 1338347520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2380533948).

1338347520 is an abundant number, since it is smaller than the sum of its proper divisors (3422720376).

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

1338347520 is a wasteful number, since it uses less digits than its factorization.

1338347520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 1338347520 is about 36583.4323157355. The cubic root of 1338347520 is about 1102.0203970081.

The spelling of 1338347520 in words is "one billion, three hundred thirty-eight million, three hundred forty-seven thousand, five hundred twenty".