33730326 has 72 divisors (see below), whose sum is σ = 85896720. Its totient is φ = 9537696.

The previous prime is 33730321. The next prime is 33730343. The reversal of 33730326 is 62303733.

33730326 is a `hidden beast` number, since 337 + 3 + 0 + 326 = 666.

It is a super-2 number, since 2×33730326² = 2275469784132552, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33730326.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33730321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 147180 + ... + 147408.

It is an arithmetic number, because the mean of its divisors is an integer number (1193010).

Almost surely, 2^33730326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33730326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42948360).

33730326 is an abundant number, since it is smaller than the sum of its proper divisors (52166394).

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

33730326 is a wasteful number, since it uses less digits than its factorization.

33730326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 27.

The square root of 33730326 is about 5807.7815041546. The cubic root of 33730326 is about 323.1023967094.

The spelling of 33730326 in words is "thirty-three million, seven hundred thirty thousand, three hundred twenty-six".