33490944 has 144 divisors (see below), whose sum is σ = 102211200. Its totient is φ = 10543104.

The previous prime is 33490927. The next prime is 33490949. The reversal of 33490944 is 44909433.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×33490944² = 2243286660022272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 33490899 and 33490908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33490949) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 423897 + ... + 423975.

It is an arithmetic number, because the mean of its divisors is an integer number (709800).

Almost surely, 2^33490944 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 33490944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51105600).

33490944 is an abundant number, since it is smaller than the sum of its proper divisors (68720256).

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

33490944 is a wasteful number, since it uses less digits than its factorization.

33490944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 33490944 is about 5787.1360792710. The cubic root of 33490944 is about 322.3362355859.

The spelling of 33490944 in words is "thirty-three million, four hundred ninety thousand, nine hundred forty-four".