1344295008 has 288 divisors, whose sum is σ = 4617738720. Its totient is φ = 379330560.

The previous prime is 1344294937. The next prime is 1344295027. The reversal of 1344295008 is 8005924431.

It is a tau number, because it is divible by the number of its divisors (288).

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

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 47 ways as a sum of consecutive naturals, for example, 4783828 + ... + 4784108.

It is an arithmetic number, because the mean of its divisors is an integer number (16033815).

Almost surely, 2^1344295008 is an apocalyptic number.

1344295008 is a gapful number since it is divisible by the number (18) 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 1344295008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2308869360).

1344295008 is an abundant number, since it is smaller than the sum of its proper divisors (3273443712).

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

1344295008 is a wasteful number, since it uses less digits than its factorization.

1344295008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1344295008 is about 36664.6288403415. The cubic root of 1344295008 is about 1103.6504091596.

The spelling of 1344295008 in words is "one billion, three hundred forty-four million, two hundred ninety-five thousand, eight".