33884116 has 48 divisors (see below), whose sum is σ = 70819840. Its totient is φ = 13880160.

The previous prime is 33884107. The next prime is 33884143. The reversal of 33884116 is 61148833.

It is a super-2 number, since 2×33884116² = 2296266634202912, which contains 22 as substring.

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, 89215 + ... + 89593.

Almost surely, 2^33884116 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 33884116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35409920).

33884116 is an abundant number, since it is smaller than the sum of its proper divisors (36935724).

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

33884116 is a wasteful number, since it uses less digits than its factorization.

33884116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 522 counting only the distinct ones).

The product of its digits is 13824, while the sum is 34.

The square root of 33884116 is about 5821.0064421885. The cubic root of 33884116 is about 323.5927031632.

The spelling of 33884116 in words is "thirty-three million, eight hundred eighty-four thousand, one hundred sixteen".