1315438336 has 72 divisors (see below), whose sum is σ = 2684213504. Its totient is φ = 643230720.

The previous prime is 1315438321. The next prime is 1315438339. The reversal of 1315438336 is 6338345131.

It is a super-3 number, since 3×1315438336³ (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1315438295 and 1315438304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1315438339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4648051 + ... + 4648333.

Almost surely, 2^1315438336 is an apocalyptic number.

1315438336 is a gapful number since it is divisible by the number (16) 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 1315438336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342106752).

1315438336 is an abundant number, since it is smaller than the sum of its proper divisors (1368775168).

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

1315438336 is an equidigital number, since it uses as much as digits as its factorization.

1315438336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 623 counting only the distinct ones).

The product of its digits is 77760, while the sum is 37.

The square root of 1315438336 is about 36268.9720835868. The cubic root of 1315438336 is about 1095.6962235521.

The spelling of 1315438336 in words is "one billion, three hundred fifteen million, four hundred thirty-eight thousand, three hundred thirty-six".