33494112 has 72 divisors (see below), whose sum is σ = 100278360. Its totient is φ = 10575360.

The previous prime is 33494099. The next prime is 33494117. The reversal of 33494112 is 21149433.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×33494112² = 2243711077337088, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33494117) 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 11 ways as a sum of consecutive naturals, for example, 2412 + ... + 8532.

It is an arithmetic number, because the mean of its divisors is an integer number (1392755).

Almost surely, 2^33494112 is an apocalyptic number.

33494112 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 33494112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50139180).

33494112 is an abundant number, since it is smaller than the sum of its proper divisors (66784248).

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

33494112 is a wasteful number, since it uses less digits than its factorization.

33494112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6156 (or 6145 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 33494112 is about 5787.4097833141. The cubic root of 33494112 is about 322.3463988209.

The spelling of 33494112 in words is "thirty-three million, four hundred ninety-four thousand, one hundred twelve".