33075438 has 64 divisors (see below), whose sum is σ = 78382080. Its totient is φ = 9190400.

The previous prime is 33075437. The next prime is 33075443. The reversal of 33075438 is 83457033.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 33075399 and 33075408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33075431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45643 + ... + 46361.

It is an arithmetic number, because the mean of its divisors is an integer number (1224720).

Almost surely, 2^33075438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33075438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39191040).

33075438 is an abundant number, since it is smaller than the sum of its proper divisors (45306642).

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

33075438 is a wasteful number, since it uses less digits than its factorization.

33075438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793.

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 33075438 is about 5751.1249334369. The cubic root of 33075438 is about 320.9976611081.

The spelling of 33075438 in words is "thirty-three million, seventy-five thousand, four hundred thirty-eight".