33949104 has 120 divisors (see below), whose sum is σ = 105326592. Its totient is φ = 9229440.

The previous prime is 33949103. The next prime is 33949121. The reversal of 33949104 is 40194933.

It is not an unprimeable number, because it can be changed into a prime (33949103) 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, 177649 + ... + 177839.

Almost surely, 2^33949104 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 33949104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52663296).

33949104 is an abundant number, since it is smaller than the sum of its proper divisors (71377488).

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

33949104 is a wasteful number, since it uses less digits than its factorization.

33949104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 33949104 is about 5826.5859643534. The cubic root of 33949104 is about 323.7994491236.

The spelling of 33949104 in words is "thirty-three million, nine hundred forty-nine thousand, one hundred four".