33406944 has 24 divisors (see below), whose sum is σ = 87693480. Its totient is φ = 11135616.

The previous prime is 33406943. The next prime is 33406957. The reversal of 33406944 is 44960433.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×33406944² = 2232047814838272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33406943) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 173899 + ... + 174090.

It is an arithmetic number, because the mean of its divisors is an integer number (3653895).

Almost surely, 2^33406944 is an apocalyptic number.

It is an amenable number.

33406944 is an abundant number, since it is smaller than the sum of its proper divisors (54286536).

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

33406944 is a wasteful number, since it uses less digits than its factorization.

33406944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348002 (or 347994 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 33406944 is about 5779.8740470706. The cubic root of 33406944 is about 322.0665217553.

The spelling of 33406944 in words is "thirty-three million, four hundred six thousand, nine hundred forty-four".