1349716224 has 144 divisors (see below), whose sum is σ = 4004441280. Its totient is φ = 401080320.

The previous prime is 1349716201. The next prime is 1349716259. The reversal of 1349716224 is 4226179431.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245344 + ... + 250784.

It is an arithmetic number, because the mean of its divisors is an integer number (27808620).

Almost surely, 2^1349716224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1349716224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2002220640).

1349716224 is an abundant number, since it is smaller than the sum of its proper divisors (2654725056).

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

1349716224 is a wasteful number, since it uses less digits than its factorization.

1349716224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5496 (or 5482 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 1349716224 is about 36738.4842365604. The cubic root of 1349716224 is about 1105.1320041860.

The spelling of 1349716224 in words is "one billion, three hundred forty-nine million, seven hundred sixteen thousand, two hundred twenty-four".