33630372 has 36 divisors (see below), whose sum is σ = 87944220. Its totient is φ = 10823232.

The previous prime is 33630367. The next prime is 33630383. The reversal of 33630372 is 27303633.

It can be written as a sum of positive squares in 2 ways, for example, as 25644096 + 7986276 = 5064^2 + 2826^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×33630372² = 2262003841716768, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15063 + ... + 17150.

It is an arithmetic number, because the mean of its divisors is an integer number (2442895).

Almost surely, 2^33630372 is an apocalyptic number.

It is an amenable number.

33630372 is an abundant number, since it is smaller than the sum of its proper divisors (54313848).

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

33630372 is a wasteful number, since it uses less digits than its factorization.

33630372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32252 (or 32247 counting only the distinct ones).

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

The square root of 33630372 is about 5799.1699406036. The cubic root of 33630372 is about 322.7829282072.

The spelling of 33630372 in words is "thirty-three million, six hundred thirty thousand, three hundred seventy-two".