33349008 has 120 divisors (see below), whose sum is σ = 109412640. Its totient is φ = 8655360.

The previous prime is 33349007. The next prime is 33349013. The reversal of 33349008 is 80094333.

It is a happy number.

It is a super-2 number, since 2×33349008² = 2224312669168128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33349007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25228 + ... + 26516.

It is an arithmetic number, because the mean of its divisors is an integer number (911772).

Almost surely, 2^33349008 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 33349008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54706320).

33349008 is an abundant number, since it is smaller than the sum of its proper divisors (76063632).

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

33349008 is a wasteful number, since it uses less digits than its factorization.

33349008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 33349008 is about 5774.8599983030. The cubic root of 33349008 is about 321.8802327110.

The spelling of 33349008 in words is "thirty-three million, three hundred forty-nine thousand, eight".