1829443984 has 75 divisors (see below), whose sum is σ = 3870616197. Its totient is φ = 837646848.

The previous prime is 1829443939. The next prime is 1829443999. The reversal of 1829443984 is 4893449281.

The square root of 1829443984 is 42772.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 121440400 + 1708003584 = 11020^2 + 41328^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 49444414 + ... + 49444450.

Almost surely, 2^1829443984 is an apocalyptic number.

1829443984 is the 42772-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1829443984

1829443984 is an abundant number, since it is smaller than the sum of its proper divisors (2041172213).

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

1829443984 is an frugal number, since it uses more digits than its factorization.

1829443984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 56 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 52.

The cubic root of 1829443984 is about 1223.0373088737.

The spelling of 1829443984 in words is "one billion, eight hundred twenty-nine million, four hundred forty-three thousand, nine hundred eighty-four".