33798432 has 96 divisors (see below), whose sum is σ = 94155264. Its totient is φ = 10598400.

The previous prime is 33798421. The next prime is 33798433. The reversal of 33798432 is 23489733.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33798432² = 2284668011317248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33798433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121878 + ... + 122154.

It is an arithmetic number, because the mean of its divisors is an integer number (980784).

Almost surely, 2^33798432 is an apocalyptic number.

33798432 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 33798432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47077632).

33798432 is an abundant number, since it is smaller than the sum of its proper divisors (60356832).

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

33798432 is a wasteful number, since it uses less digits than its factorization.

33798432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 354 counting only the distinct ones).

The product of its digits is 108864, while the sum is 39.

The square root of 33798432 is about 5813.6418878359. The cubic root of 33798432 is about 323.3197127031.

It can be divided in two parts, 3379 and 8432, that added together give a palindrome (11811).

The spelling of 33798432 in words is "thirty-three million, seven hundred ninety-eight thousand, four hundred thirty-two".