33434672 has 40 divisors (see below), whose sum is σ = 66799296. Its totient is φ = 16203776.

The previous prime is 33434669. The next prime is 33434689. The reversal of 33434672 is 27643433.

It is a super-3 number, since 3×33434672³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129968 + ... + 130224.

Almost surely, 2^33434672 is an apocalyptic number.

It is an amenable number.

33434672 is a deficient number, since it is larger than the sum of its proper divisors (33364624).

33434672 is a wasteful number, since it uses less digits than its factorization.

33434672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 479 counting only the distinct ones).

The product of its digits is 36288, while the sum is 32.

The square root of 33434672 is about 5782.2722177359. The cubic root of 33434672 is about 322.1556029448.

The spelling of 33434672 in words is "thirty-three million, four hundred thirty-four thousand, six hundred seventy-two".