1329641936 has 80 divisors (see below), whose sum is σ = 3008378880. Its totient is φ = 557523840.

The previous prime is 1329641917. The next prime is 1329641981. The reversal of 1329641936 is 6391469231.

It is a congruent number.

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, 2054765 + ... + 2055411.

It is an arithmetic number, because the mean of its divisors is an integer number (37604736).

Almost surely, 2^1329641936 is an apocalyptic number.

1329641936 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 1329641936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504189440).

1329641936 is an abundant number, since it is smaller than the sum of its proper divisors (1678736944).

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

1329641936 is a wasteful number, since it uses less digits than its factorization.

1329641936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1026 counting only the distinct ones).

The product of its digits is 209952, while the sum is 44.

The square root of 1329641936 is about 36464.2555936632. The cubic root of 1329641936 is about 1099.6257503706.

The spelling of 1329641936 in words is "one billion, three hundred twenty-nine million, six hundred forty-one thousand, nine hundred thirty-six".