1338023520 has 288 divisors, whose sum is σ = 4740319584. Its totient is φ = 343449600.

The previous prime is 1338023509. The next prime is 1338023527. The reversal of 1338023520 is 253208331.

1338023520 is a `hidden beast` number, since 133 + 8 + 0 + 2 + 3 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1338023527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7734154 + ... + 7734326.

It is an arithmetic number, because the mean of its divisors is an integer number (16459443).

Almost surely, 2^1338023520 is an apocalyptic number.

1338023520 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 1338023520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2370159792).

1338023520 is an abundant number, since it is smaller than the sum of its proper divisors (3402296064).

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

1338023520 is a wasteful number, since it uses less digits than its factorization.

1338023520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1338023520 is about 36579.0038136634. The cubic root of 1338023520 is about 1101.9314606095.

The spelling of 1338023520 in words is "one billion, three hundred thirty-eight million, twenty-three thousand, five hundred twenty".