33884172 has 144 divisors (see below), whose sum is σ = 103783680. Its totient is φ = 9120384.

The previous prime is 33884167. The next prime is 33884173. The reversal of 33884172 is 27148833.

It is a super-2 number, since 2×33884172² = 2296274224251168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (33884173) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 574279 + ... + 574337.

It is an arithmetic number, because the mean of its divisors is an integer number (720720).

Almost surely, 2^33884172 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 33884172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51891840).

33884172 is an abundant number, since it is smaller than the sum of its proper divisors (69899508).

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

33884172 is a wasteful number, since it uses less digits than its factorization.

33884172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 167 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 33884172 is about 5821.0112523513. The cubic root of 33884172 is about 323.5928814295.

The spelling of 33884172 in words is "thirty-three million, eight hundred eighty-four thousand, one hundred seventy-two".