33985984 has 42 divisors (see below), whose sum is σ = 71225664. Its totient is φ = 16087680.

The previous prime is 33985957. The next prime is 33985997. The reversal of 33985984 is 48958933.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22369 + ... + 23839.

Almost surely, 2^33985984 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 33985984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35612832).

33985984 is an abundant number, since it is smaller than the sum of its proper divisors (37239680).

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

33985984 is a wasteful number, since it uses less digits than its factorization.

33985984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1492 counting only the distinct ones).

The product of its digits is 933120, while the sum is 49.

The square root of 33985984 is about 5829.7499088726. The cubic root of 33985984 is about 323.9166579319.

It can be divided in two parts, 33985 and 984, that added together give a square (34969 = 187²).

The spelling of 33985984 in words is "thirty-three million, nine hundred eighty-five thousand, nine hundred eighty-four".