33468416 has 26 divisors (see below), whose sum is σ = 66936852. Its totient is φ = 16732160.

The previous prime is 33468389. The next prime is 33468419. The reversal of 33468416 is 61486433.

It is a super-2 number, since 2×33468416² = 2240269739098112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33468419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11 + ... + 8181.

Almost surely, 2^33468416 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 33468416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33468426).

33468416 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

33468416 is an frugal number, since it uses more digits than its factorization.

33468416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8195 (or 8173 counting only the distinct ones).

The product of its digits is 41472, while the sum is 35.

The square root of 33468416 is about 5785.1893659586. The cubic root of 33468416 is about 322.2639452028.

The spelling of 33468416 in words is "thirty-three million, four hundred sixty-eight thousand, four hundred sixteen".