33274080 has 144 divisors (see below), whose sum is σ = 129808224. Its totient is φ = 7603200.

The previous prime is 33274061. The next prime is 33274081. The reversal of 33274080 is 8047233.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×33274080² = 2214328799692800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33274081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8430 + ... + 11730.

It is an arithmetic number, because the mean of its divisors is an integer number (901446).

Almost surely, 2^33274080 is an apocalyptic number.

33274080 is a gapful number since it is divisible by the number (30) 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 33274080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64904112).

33274080 is an abundant number, since it is smaller than the sum of its proper divisors (96534144).

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

33274080 is a wasteful number, since it uses less digits than its factorization.

33274080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3329 (or 3318 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 33274080 is about 5768.3689202408. The cubic root of 33274080 is about 321.6389868826.

The spelling of 33274080 in words is "thirty-three million, two hundred seventy-four thousand, eighty".