1329730000 has 100 divisors (see below), whose sum is σ = 3253183648. Its totient is φ = 526320000.

The previous prime is 1329729959. The next prime is 1329730007. The reversal of 1329730000 is 379231.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1329730007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1029355 + ... + 1030645.

Almost surely, 2^1329730000 is an apocalyptic number.

1329730000 is a gapful number since it is divisible by the number (10) 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 1329730000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626591824).

1329730000 is an abundant number, since it is smaller than the sum of its proper divisors (1923453648).

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

1329730000 is a wasteful number, since it uses less digits than its factorization.

1329730000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 25.

The square root of 1329730000 is about 36465.4631123752. The cubic root of 1329730000 is about 1099.6500264060.

The spelling of 1329730000 in words is "one billion, three hundred twenty-nine million, seven hundred thirty thousand".