1338835520 has 168 divisors, whose sum is σ = 3640775040. Its totient is φ = 465034240.

The previous prime is 1338835517. The next prime is 1338835529. The reversal of 1338835520 is 255388331.

It is a super-2 number, since 2×1338835520² = 3584961099227340800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1338835529) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1861721 + ... + 1862439.

It is an arithmetic number, because the mean of its divisors is an integer number (21671280).

Almost surely, 2^1338835520 is an apocalyptic number.

1338835520 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 1338835520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1820387520).

1338835520 is an abundant number, since it is smaller than the sum of its proper divisors (2301939520).

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

1338835520 is a wasteful number, since it uses less digits than its factorization.

1338835520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The square root of 1338835520 is about 36590.1013936830. The cubic root of 1338835520 is about 1102.1543235094.

The spelling of 1338835520 in words is "one billion, three hundred thirty-eight million, eight hundred thirty-five thousand, five hundred twenty".