33396832 has 108 divisors (see below), whose sum is σ = 82090260. Its totient is φ = 13329792.

The previous prime is 33396799. The next prime is 33396833. The reversal of 33396832 is 23869333.

It is a super-2 number, since 2×33396832² = 2230696775272448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33396791 and 33396800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33396833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 566019 + ... + 566077.

It is an arithmetic number, because the mean of its divisors is an integer number (760095).

Almost surely, 2^33396832 is an apocalyptic number.

33396832 is a gapful number since it is divisible by the number (32) 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 33396832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41045130).

33396832 is an abundant number, since it is smaller than the sum of its proper divisors (48693428).

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

33396832 is a wasteful number, since it uses less digits than its factorization.

33396832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 87 counting only the distinct ones).

The product of its digits is 69984, while the sum is 37.

The square root of 33396832 is about 5778.9992213185. Note that the first 3 decimals coincide. The cubic root of 33396832 is about 322.0340228700.

The spelling of 33396832 in words is "thirty-three million, three hundred ninety-six thousand, eight hundred thirty-two".