33786816 has 112 divisors (see below), whose sum is σ = 106704384. Its totient is φ = 9225216.

The previous prime is 33786751. The next prime is 33786847. The reversal of 33786816 is 61868733.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×33786816² = 2283097870835712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30366 + ... + 31458.

Almost surely, 2^33786816 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 33786816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53352192).

33786816 is an abundant number, since it is smaller than the sum of its proper divisors (72917568).

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

33786816 is a wasteful number, since it uses less digits than its factorization.

33786816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1128 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 33786816 is about 5812.6427724401. The cubic root of 33786816 is about 323.2826684588.

It can be divided in two parts, 337 and 86816, that added together give a triangular number (87153 = T₄₁₇).

The spelling of 33786816 in words is "thirty-three million, seven hundred eighty-six thousand, eight hundred sixteen".