33420432 has 40 divisors (see below), whose sum is σ = 87806880. Its totient is φ = 10950400.

The previous prime is 33420407. The next prime is 33420451. The reversal of 33420432 is 23402433.

It is a super-3 number, since 3×33420432³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 33420399 and 33420408.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3069 + ... + 8732.

It is an arithmetic number, because the mean of its divisors is an integer number (2195172).

Almost surely, 2^33420432 is an apocalyptic number.

It is an amenable number.

33420432 is an abundant number, since it is smaller than the sum of its proper divisors (54386448).

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

33420432 is a wasteful number, since it uses less digits than its factorization.

33420432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11871 (or 11865 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 33420432 is about 5781.0407367532. The cubic root of 33420432 is about 322.1098605368.

Adding to 33420432 its reverse (23402433), we get a palindrome (56822865).

The spelling of 33420432 in words is "thirty-three million, four hundred twenty thousand, four hundred thirty-two".