32884149384 has 96 divisors (see below), whose sum is σ = 91337009400. Its totient is φ = 10681896960.

The previous prime is 32884149383. The next prime is 32884149413. The reversal of 32884149384 is 48394148823.

32884149384 is a `hidden beast` number, since 32 + 8 + 8 + 41 + 493 + 84 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28577902500 + 4306246884 = 169050^2 + 65622^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 32884149384.

It is not an unprimeable number, because it can be changed into a prime (32884149383) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2807412 + ... + 2819100.

Almost surely, 2^32884149384 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 32884149384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45668504700).

32884149384 is an abundant number, since it is smaller than the sum of its proper divisors (58452860016).

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

32884149384 is a wasteful number, since it uses less digits than its factorization.

32884149384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12695 (or 12688 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

It can be divided in two parts, 328841 and 49384, that added together give a square (378225 = 615²).

The spelling of 32884149384 in words is "thirty-two billion, eight hundred eighty-four million, one hundred forty-nine thousand, three hundred eighty-four".