33436768 has 48 divisors (see below), whose sum is σ = 68856480. Its totient is φ = 15963136.

The previous prime is 33436763. The next prime is 33436783. The reversal of 33436768 is 86763433.

It is a super-2 number, since 2×33436768² = 2236034908571648, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33436768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33436763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127005 + ... + 127267.

It is an arithmetic number, because the mean of its divisors is an integer number (1434510).

Almost surely, 2^33436768 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 33436768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34428240).

33436768 is an abundant number, since it is smaller than the sum of its proper divisors (35419712).

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

33436768 is a wasteful number, since it uses less digits than its factorization.

33436768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 431 counting only the distinct ones).

The product of its digits is 217728, while the sum is 40.

The square root of 33436768 is about 5782.4534585243. The cubic root of 33436768 is about 322.1623347194.

The spelling of 33436768 in words is "thirty-three million, four hundred thirty-six thousand, seven hundred sixty-eight".