33788916 has 72 divisors (see below), whose sum is σ = 102764480. Its totient is φ = 9144576.

The previous prime is 33788903. The next prime is 33788917. The reversal of 33788916 is 61988733.

It is a happy number.

It is a super-2 number, since 2×33788916² = 2283381688910112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33788917) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1260 + ... + 8316.

Almost surely, 2^33788916 is an apocalyptic number.

33788916 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33788916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51382240).

33788916 is an abundant number, since it is smaller than the sum of its proper divisors (68975564).

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

33788916 is a wasteful number, since it uses less digits than its factorization.

33788916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7093 (or 7088 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 33788916 is about 5812.8234103575. The cubic root of 33788916 is about 323.2893661357.

It can be divided in two parts, 337 and 88916, that added together give a triangular number (89253 = T₄₂₂).

The spelling of 33788916 in words is "thirty-three million, seven hundred eighty-eight thousand, nine hundred sixteen".