1344360960 has 480 divisors, whose sum is σ = 5094048960. Its totient is φ = 326467584.

The previous prime is 1344360959. The next prime is 1344360989. The reversal of 1344360960 is 690634431.

1344360960 is a `hidden beast` number, since 1 + 3 + 4 + 43 + 609 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 16197079 + ... + 16197161.

It is an arithmetic number, because the mean of its divisors is an integer number (10612602).

Almost surely, 2^1344360960 is an apocalyptic number.

1344360960 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 1344360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2547024480).

1344360960 is an abundant number, since it is smaller than the sum of its proper divisors (3749688000).

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

1344360960 is a wasteful number, since it uses less digits than its factorization.

1344360960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 1344360960 is about 36665.5282247508. The cubic root of 1344360960 is about 1103.6684574702.

The spelling of 1344360960 in words is "one billion, three hundred forty-four million, three hundred sixty thousand, nine hundred sixty".