1344959616 has 256 divisors, whose sum is σ = 4798080000. Its totient is φ = 322375680.

The previous prime is 1344959597. The next prime is 1344959617. The reversal of 1344959616 is 6169594431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1344959617) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 382635 + ... + 386133.

It is an arithmetic number, because the mean of its divisors is an integer number (18742500).

Almost surely, 2^1344959616 is an apocalyptic number.

1344959616 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 1344959616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399040000).

1344959616 is an abundant number, since it is smaller than the sum of its proper divisors (3453120384).

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

1344959616 is a wasteful number, since it uses less digits than its factorization.

1344959616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3547 (or 3535 counting only the distinct ones).

The product of its digits is 699840, while the sum is 48.

The square root of 1344959616 is about 36673.6910604864. The cubic root of 1344959616 is about 1103.8322576482.

The spelling of 1344959616 in words is "one billion, three hundred forty-four million, nine hundred fifty-nine thousand, six hundred sixteen".