33506748 has 72 divisors (see below), whose sum is σ = 93090816. Its totient is φ = 10077600.

The previous prime is 33506741. The next prime is 33506773. The reversal of 33506748 is 84760533.

It is a happy number.

It is a super-2 number, since 2×33506748² = 2245404323071008, 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 (33506741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75415 + ... + 75857.

It is an arithmetic number, because the mean of its divisors is an integer number (1292928).

Almost surely, 2^33506748 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 33506748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46545408).

33506748 is an abundant number, since it is smaller than the sum of its proper divisors (59584068).

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

33506748 is a wasteful number, since it uses less digits than its factorization.

33506748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 33506748 is about 5788.5013604559. The cubic root of 33506748 is about 322.3869298948.

The spelling of 33506748 in words is "thirty-three million, five hundred six thousand, seven hundred forty-eight".