33985504 has 48 divisors (see below), whose sum is σ = 76997088. Its totient is φ = 14464512.

The previous prime is 33985493. The next prime is 33985507. The reversal of 33985504 is 40558933.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33985507) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38314 + ... + 39190.

It is an arithmetic number, because the mean of its divisors is an integer number (1604106).

Almost surely, 2^33985504 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 33985504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38498544).

33985504 is an abundant number, since it is smaller than the sum of its proper divisors (43011584).

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

33985504 is a wasteful number, since it uses less digits than its factorization.

33985504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The square root of 33985504 is about 5829.7087405804. The cubic root of 33985504 is about 323.9151329824.

The spelling of 33985504 in words is "thirty-three million, nine hundred eighty-five thousand, five hundred four".