1329903936 has 168 divisors, whose sum is σ = 4046402880. Its totient is φ = 416434176.

The previous prime is 1329903929. The next prime is 1329903941. The reversal of 1329903936 is 6393099231.

It is a junction number, because it is equal to n+sod(n) for n = 1329903891 and 1329903900.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1498885 + ... + 1499771.

Almost surely, 2^1329903936 is an apocalyptic number.

1329903936 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 1329903936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2023201440).

1329903936 is an abundant number, since it is smaller than the sum of its proper divisors (2716498944).

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

1329903936 is a wasteful number, since it uses less digits than its factorization.

1329903936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 236196, while the sum is 45.

The square root of 1329903936 is about 36467.8479759911. The cubic root of 1329903936 is about 1099.6979710735.

The spelling of 1329903936 in words is "one billion, three hundred twenty-nine million, nine hundred three thousand, nine hundred thirty-six".