33468084 has 54 divisors (see below), whose sum is σ = 91624806. Its totient is φ = 10296000.

The previous prime is 33468073. The next prime is 33468103. The reversal of 33468084 is 48086433.

It can be written as a sum of positive squares in 3 ways, for example, as 3459600 + 30008484 = 1860^2 + 5478^2 .

It is a super-2 number, since 2×33468084² = 2240225293262112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 17 ways as a sum of consecutive naturals, for example, 3334 + ... + 8834.

Almost surely, 2^33468084 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 33468084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45812403).

33468084 is an abundant number, since it is smaller than the sum of its proper divisors (58156722).

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

33468084 is a wasteful number, since it uses less digits than its factorization.

33468084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5537 (or 5519 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 33468084 is about 5785.1606719261. The cubic root of 33468084 is about 322.2628796013.

The spelling of 33468084 in words is "thirty-three million, four hundred sixty-eight thousand, eighty-four".