33716816 has 40 divisors (see below), whose sum is σ = 76405824. Its totient is φ = 14112000.

The previous prime is 33716807. The next prime is 33716819. The reversal of 33716816 is 61861733.

It is a super-2 number, since 2×33716816² = 2273647362355712, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33716819) 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, 1316 + ... + 8316.

Almost surely, 2^33716816 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 33716816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38202912).

33716816 is an abundant number, since it is smaller than the sum of its proper divisors (42689008).

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

33716816 is a wasteful number, since it uses less digits than its factorization.

33716816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7059 (or 7053 counting only the distinct ones).

The product of its digits is 18144, while the sum is 35.

The square root of 33716816 is about 5806.6182929481. The cubic root of 33716816 is about 323.0592535717.

The spelling of 33716816 in words is "thirty-three million, seven hundred sixteen thousand, eight hundred sixteen".