33036768 has 48 divisors (see below), whose sum is σ = 96359760. Its totient is φ = 11011968.

The previous prime is 33036767. The next prime is 33036799. The reversal of 33036768 is 86763033.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33036761) 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, 18255 + ... + 19982.

It is an arithmetic number, because the mean of its divisors is an integer number (2007495).

Almost surely, 2^33036768 is an apocalyptic number.

It is an amenable number.

33036768 is an abundant number, since it is smaller than the sum of its proper divisors (63322992).

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

33036768 is a wasteful number, since it uses less digits than its factorization.

33036768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38256 (or 38242 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 33036768 is about 5747.7619992481. The cubic root of 33036768 is about 320.8725146654.

The spelling of 33036768 in words is "thirty-three million, thirty-six thousand, seven hundred sixty-eight".