1329716352 has 128 divisors (see below), whose sum is σ = 3694521600. Its totient is φ = 423198720.

The previous prime is 1329716351. The next prime is 1329716359. The reversal of 1329716352 is 2536179231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1329716352.

It is not an unprimeable number, because it can be changed into a prime (1329716351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1079577 + ... + 1080807.

It is an arithmetic number, because the mean of its divisors is an integer number (28863450).

Almost surely, 2^1329716352 is an apocalyptic number.

1329716352 is a gapful number since it is divisible by the number (12) 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 1329716352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847260800).

1329716352 is an abundant number, since it is smaller than the sum of its proper divisors (2364805248).

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

1329716352 is a wasteful number, since it uses less digits than its factorization.

1329716352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1362 counting only the distinct ones).

The product of its digits is 68040, while the sum is 39.

The square root of 1329716352 is about 36465.2759759199. The cubic root of 1329716352 is about 1099.6462642200.

The spelling of 1329716352 in words is "one billion, three hundred twenty-nine million, seven hundred sixteen thousand, three hundred fifty-two".