33406720 has 36 divisors (see below), whose sum is σ = 80022600. Its totient is φ = 13362176.

The previous prime is 33406691. The next prime is 33406729. The reversal of 33406720 is 2760433.

It is a super-3 number, since 3×33406720³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33406729) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11770 + ... + 14329.

It is an arithmetic number, because the mean of its divisors is an integer number (2222850).

Almost surely, 2^33406720 is an apocalyptic number.

It is an amenable number.

33406720 is an abundant number, since it is smaller than the sum of its proper divisors (46615880).

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

33406720 is an equidigital number, since it uses as much as digits as its factorization.

33406720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26120 (or 26106 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 25.

The square root of 33406720 is about 5779.8546694532. The cubic root of 33406720 is about 322.0658019143.

It can be divided in two parts, 334067 and 20, that multiplied together give a triangular number (6681340 = T₃₆₅₅).

The spelling of 33406720 in words is "thirty-three million, four hundred six thousand, seven hundred twenty".