1882032784384 has 99 divisors (see below), whose sum is σ = 3855623269797. Its totient is φ = 918210392064.

The previous prime is 1882032784381. The next prime is 1882032784391. The reversal of 1882032784384 is 4834872302881.

The square root of 1882032784384 is 1371872.

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

It can be written as a sum of positive squares in only one way, i.e., 1620019840000 + 262012944384 = 1272800^2 + 511872^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1882032784381) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1887695374 + ... + 1887696370.

Almost surely, 2^{1882032784384} is an apocalyptic number.

1882032784384 is the 1371872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1882032784384

1882032784384 is an abundant number, since it is smaller than the sum of its proper divisors (1973590485413).

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

1882032784384 is an frugal number, since it uses more digits than its factorization.

1882032784384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2100 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 58.

The spelling of 1882032784384 in words is "one trillion, eight hundred eighty-two billion, thirty-two million, seven hundred eighty-four thousand, three hundred eighty-four".