33441408 has 384 divisors, whose sum is σ = 133660800. Its totient is φ = 7741440.

The previous prime is 33441389. The next prime is 33441433. The reversal of 33441408 is 80414433.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×33441408² = 2236655538044928, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1153138 + ... + 1153166.

It is an arithmetic number, because the mean of its divisors is an integer number (348075).

Almost surely, 2^33441408 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 33441408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66830400).

33441408 is an abundant number, since it is smaller than the sum of its proper divisors (100219392).

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

33441408 is a wasteful number, since it uses less digits than its factorization.

33441408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 33441408 is about 5782.8546583846. The cubic root of 33441408 is about 322.1772361207.

The spelling of 33441408 in words is "thirty-three million, four hundred forty-one thousand, four hundred eight".