33340480 has 56 divisors (see below), whose sum is σ = 81271872. Its totient is φ = 13020672.

The previous prime is 33340427. The next prime is 33340481. The reversal of 33340480 is 8404333.

It is a super-2 number, since 2×33340480² = 2223175213260800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (33340481) 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 7 ways as a sum of consecutive naturals, for example, 12549 + ... + 14971.

Almost surely, 2^33340480 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 33340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40635936).

33340480 is an abundant number, since it is smaller than the sum of its proper divisors (47931392).

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

33340480 is a wasteful number, since it uses less digits than its factorization.

33340480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2483 (or 2473 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 33340480 is about 5774.1215782143. The cubic root of 33340480 is about 321.8527933277.

The spelling of 33340480 in words is "thirty-three million, three hundred forty thousand, four hundred eighty".