33485424 has 120 divisors (see below), whose sum is σ = 105171840. Its totient is φ = 9136512.

The previous prime is 33485399. The next prime is 33485443. The reversal of 33485424 is 42458433.

It is a super-3 number, since 3×33485424³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53787 + ... + 54405.

It is an arithmetic number, because the mean of its divisors is an integer number (876432).

Almost surely, 2^33485424 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 33485424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52585920).

33485424 is an abundant number, since it is smaller than the sum of its proper divisors (71686416).

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

33485424 is a wasteful number, since it uses less digits than its factorization.

33485424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 654 counting only the distinct ones).

The product of its digits is 46080, while the sum is 33.

The square root of 33485424 is about 5786.6591397801. The cubic root of 33485424 is about 322.3185253875.

It can be divided in two parts, 334 and 85424, that added together give a palindrome (85758).

The spelling of 33485424 in words is "thirty-three million, four hundred eighty-five thousand, four hundred twenty-four".