1329904884 has 144 divisors (see below), whose sum is σ = 3971358720. Its totient is φ = 342498240.

The previous prime is 1329904853. The next prime is 1329904931. The reversal of 1329904884 is 4884099231.

1329904884 = T₃₈₄ + T₃₈₅ + ... + T₂₀₀₂.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 820627 + ... + 822245.

It is an arithmetic number, because the mean of its divisors is an integer number (27578880).

Almost surely, 2^1329904884 is an apocalyptic number.

1329904884 is a gapful number since it is divisible by the number (14) 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 1329904884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985679360).

1329904884 is an abundant number, since it is smaller than the sum of its proper divisors (2641453836).

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

1329904884 is a wasteful number, since it uses less digits than its factorization.

1329904884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 1329904884 is about 36467.8609737396. The cubic root of 1329904884 is about 1099.6982323739.

The spelling of 1329904884 in words is "one billion, three hundred twenty-nine million, nine hundred four thousand, eight hundred eighty-four".