33946744 has 32 divisors (see below), whose sum is σ = 69683040. Its totient is φ = 15408000.

The previous prime is 33946741. The next prime is 33946753. The reversal of 33946744 is 44764933.

33946744 = 296² + 297² + ... + 503².

33946744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 33946697 and 33946706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33946741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3669 + ... + 9019.

It is an arithmetic number, because the mean of its divisors is an integer number (2177595).

Almost surely, 2^33946744 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 33946744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34841520).

33946744 is an abundant number, since it is smaller than the sum of its proper divisors (35736296).

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

33946744 is a wasteful number, since it uses less digits than its factorization.

33946744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5431 (or 5427 counting only the distinct ones).

The product of its digits is 217728, while the sum is 40.

The square root of 33946744 is about 5826.3834408662. The cubic root of 33946744 is about 323.7919458877.

The spelling of 33946744 in words is "thirty-three million, nine hundred forty-six thousand, seven hundred forty-four".