33630048 has 72 divisors (see below), whose sum is σ = 99813168. Its totient is φ = 10720512.

The previous prime is 33630041. The next prime is 33630083. The reversal of 33630048 is 84003633.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×33630048² = 2261960256964608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33630041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4086 + ... + 9162.

It is an arithmetic number, because the mean of its divisors is an integer number (1386294).

Almost surely, 2^33630048 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 33630048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49906584).

33630048 is an abundant number, since it is smaller than the sum of its proper divisors (66183120).

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

33630048 is a wasteful number, since it uses less digits than its factorization.

33630048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5116 (or 5105 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 33630048 is about 5799.1420055039. The cubic root of 33630048 is about 322.7818916243.

The spelling of 33630048 in words is "thirty-three million, six hundred thirty thousand, forty-eight".