1344340416 has 112 divisors (see below), whose sum is σ = 3783970080. Its totient is φ = 419758080.

The previous prime is 1344340373. The next prime is 1344340427. The reversal of 1344340416 is 6140434431.

It is a super-3 number, since 3×1344340416³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 785770 + ... + 787478.

Almost surely, 2^1344340416 is an apocalyptic number.

1344340416 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 1344340416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1891985040).

1344340416 is an abundant number, since it is smaller than the sum of its proper divisors (2439629664).

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

1344340416 is a wasteful number, since it uses less digits than its factorization.

1344340416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 1344340416 is about 36665.2480695276. The cubic root of 1344340416 is about 1103.6628354979.

Adding to 1344340416 its reverse (6140434431), we get a palindrome (7484774847).

The spelling of 1344340416 in words is "one billion, three hundred forty-four million, three hundred forty thousand, four hundred sixteen".