33412080 has 80 divisors (see below), whose sum is σ = 111555360. Its totient is φ = 8223744.

The previous prime is 33412069. The next prime is 33412091. The reversal of 33412080 is 8021433.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (33412069) and next prime (33412091).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33412080² = 2232734179852800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2235 + ... + 8474.

It is an arithmetic number, because the mean of its divisors is an integer number (1394442).

Almost surely, 2^33412080 is an apocalyptic number.

33412080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33412080 is an abundant number, since it is smaller than the sum of its proper divisors (78143280).

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

33412080 is a wasteful number, since it uses less digits than its factorization.

33412080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10738 (or 10732 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 33412080 is about 5780.3183303344. The cubic root of 33412080 is about 322.0830257980.

The spelling of 33412080 in words is "thirty-three million, four hundred twelve thousand, eighty".