1344014336 has 144 divisors (see below), whose sum is σ = 3193117200. Its totient is φ = 563748864.

The previous prime is 1344014299. The next prime is 1344014401. The reversal of 1344014336 is 6334104431.

It is a junction number, because it is equal to n+sod(n) for n = 1344014299 and 1344014308.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5920655 + ... + 5920881.

It is an arithmetic number, because the mean of its divisors is an integer number (22174425).

Almost surely, 2^1344014336 is an apocalyptic number.

1344014336 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 1344014336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596558600).

1344014336 is an abundant number, since it is smaller than the sum of its proper divisors (1849102864).

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

1344014336 is an equidigital number, since it uses as much as digits as its factorization.

1344014336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 1344014336 is about 36660.8010823550. The cubic root of 1344014336 is about 1103.5735943418.

Adding to 1344014336 its reverse (6334104431), we get a palindrome (7678118767).

The spelling of 1344014336 in words is "one billion, three hundred forty-four million, fourteen thousand, three hundred thirty-six".