33412320 has 72 divisors (see below), whose sum is σ = 114024456. Its totient is φ = 8909568.

The previous prime is 33412289. The next prime is 33412331. The reversal of 33412320 is 2321433.

33412320 is a `hidden beast` number, since 3 + 341 + 2 + 320 = 666.

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

It is a super-2 number, since 2×33412320² = 2232766255564800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 33412293 and 33412302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10162 + ... + 13041.

It is an arithmetic number, because the mean of its divisors is an integer number (1583673).

Almost surely, 2^33412320 is an apocalyptic number.

33412320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33412320 is an abundant number, since it is smaller than the sum of its proper divisors (80612136).

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

33412320 is a wasteful number, since it uses less digits than its factorization.

33412320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23224 (or 23213 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 33412320 is about 5780.3390903995. The cubic root of 33412320 is about 322.0837969736.

Adding to 33412320 its reverse (2321433), we get a palindrome (35733753).

The spelling of 33412320 in words is "thirty-three million, four hundred twelve thousand, three hundred twenty".