33976384 has 56 divisors (see below), whose sum is σ = 73530968. Its totient is φ = 15482880.

The previous prime is 33976381. The next prime is 33976391. The reversal of 33976384 is 48367933.

It can be written as a sum of positive squares in 4 ways, for example, as 1166400 + 32809984 = 1080^2 + 5728^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 33976384.

It is not an unprimeable number, because it can be changed into a prime (33976381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80494 + ... + 80914.

It is an arithmetic number, because the mean of its divisors is an integer number (1313053).

Almost surely, 2^33976384 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 33976384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36765484).

33976384 is an abundant number, since it is smaller than the sum of its proper divisors (39554584).

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

33976384 is a wasteful number, since it uses less digits than its factorization.

33976384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 533 counting only the distinct ones).

The product of its digits is 326592, while the sum is 43.

The square root of 33976384 is about 5828.9264877849. The cubic root of 33976384 is about 323.8861562134.

The spelling of 33976384 in words is "thirty-three million, nine hundred seventy-six thousand, three hundred eighty-four".