1344596640 has 192 divisors, whose sum is σ = 4595149440. Its totient is φ = 329154560.

The previous prime is 1344596611. The next prime is 1344596647. The reversal of 1344596640 is 466954431.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1344596592 and 1344596601.

It is not an unprimeable number, because it can be changed into a prime (1344596647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 332551 + ... + 336569.

It is an arithmetic number, because the mean of its divisors is an integer number (23933070).

Almost surely, 2^1344596640 is an apocalyptic number.

1344596640 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 1344596640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2297574720).

1344596640 is an abundant number, since it is smaller than the sum of its proper divisors (3250552800).

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

1344596640 is a wasteful number, since it uses less digits than its factorization.

1344596640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4095 (or 4087 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 1344596640 is about 36668.7420018740. The cubic root of 1344596640 is about 1103.7329484294.

The spelling of 1344596640 in words is "one billion, three hundred forty-four million, five hundred ninety-six thousand, six hundred forty".