33830748 has 144 divisors (see below), whose sum is σ = 106142400. Its totient is φ = 8865792.

The previous prime is 33830747. The next prime is 33830759. The reversal of 33830748 is 84703833.

It is a super-2 number, since 2×33830748² = 2289039020479008, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33830743) 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 47 ways as a sum of consecutive naturals, for example, 226978 + ... + 227126.

It is an arithmetic number, because the mean of its divisors is an integer number (737100).

Almost surely, 2^33830748 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 33830748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53071200).

33830748 is an abundant number, since it is smaller than the sum of its proper divisors (72311652).

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

33830748 is a wasteful number, since it uses less digits than its factorization.

33830748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 33830748 is about 5816.4205487568. The cubic root of 33830748 is about 323.4227260773.

The spelling of 33830748 in words is "thirty-three million, eight hundred thirty thousand, seven hundred forty-eight".