33038976 has 64 divisors (see below), whose sum is σ = 88764480. Its totient is φ = 10887168.

The previous prime is 33038947. The next prime is 33038977. The reversal of 33038976 is 67983033.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33038977) 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, 36805 + ... + 37691.

It is an arithmetic number, because the mean of its divisors is an integer number (1386945).

Almost surely, 2^33038976 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 33038976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44382240).

33038976 is an abundant number, since it is smaller than the sum of its proper divisors (55725504).

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

33038976 is an equidigital number, since it uses as much as digits as its factorization.

33038976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The square root of 33038976 is about 5747.9540707977. The cubic root of 33038976 is about 320.8796629709.

The spelling of 33038976 in words is "thirty-three million, thirty-eight thousand, nine hundred seventy-six".