1329642336 has 96 divisors (see below), whose sum is σ = 3864647808. Its totient is φ = 396887040.

The previous prime is 1329642329. The next prime is 1329642343. The reversal of 1329642336 is 6332469231.

It is an interprime number because it is at equal distance from previous prime (1329642329) and next prime (1329642343).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 1329642294 and 1329642303.

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, 61356 + ... + 80148.

It is an arithmetic number, because the mean of its divisors is an integer number (40256748).

Almost surely, 2^1329642336 is an apocalyptic number.

1329642336 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 1329642336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1932323904).

1329642336 is an abundant number, since it is smaller than the sum of its proper divisors (2535005472).

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

1329642336 is a wasteful number, since it uses less digits than its factorization.

1329642336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18884 (or 18876 counting only the distinct ones).

The product of its digits is 139968, while the sum is 39.

The square root of 1329642336 is about 36464.2610784862. The cubic root of 1329642336 is about 1099.6258606384.

The spelling of 1329642336 in words is "one billion, three hundred twenty-nine million, six hundred forty-two thousand, three hundred thirty-six".