1329808032 has 144 divisors (see below), whose sum is σ = 4334541120. Its totient is φ = 378832896.

The previous prime is 1329808003. The next prime is 1329808093. The reversal of 1329808032 is 2308089231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 892344 + ... + 893832.

It is an arithmetic number, because the mean of its divisors is an integer number (30100980).

Almost surely, 2^1329808032 is an apocalyptic number.

1329808032 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 1329808032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2167270560).

1329808032 is an abundant number, since it is smaller than the sum of its proper divisors (3004733088).

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

1329808032 is a wasteful number, since it uses less digits than its factorization.

1329808032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1955 (or 1944 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1329808032 is about 36466.5330405839. The cubic root of 1329808032 is about 1099.6715360891.

The spelling of 1329808032 in words is "one billion, three hundred twenty-nine million, eight hundred eight thousand, thirty-two".