1329345408 has 64 divisors (see below), whose sum is σ = 3541276800. Its totient is φ = 441835008.

The previous prime is 1329345389. The next prime is 1329345443. The reversal of 1329345408 is 8045439231.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133035 + ... + 142677.

It is an arithmetic number, because the mean of its divisors is an integer number (55332450).

Almost surely, 2^1329345408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1329345408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770638400).

1329345408 is an abundant number, since it is smaller than the sum of its proper divisors (2211931392).

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

1329345408 is an equidigital number, since it uses as much as digits as its factorization.

1329345408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10019 (or 10007 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 1329345408 is about 36460.1893577090. The cubic root of 1329345408 is about 1099.5440005255.

The spelling of 1329345408 in words is "one billion, three hundred twenty-nine million, three hundred forty-five thousand, four hundred eight".