33906848 has 24 divisors (see below), whose sum is σ = 67373460. Its totient is φ = 16796160.

The previous prime is 33906809. The next prime is 33906883. The reversal of 33906848 is 84860933.

It can be written as a sum of positive squares in 2 ways, for example, as 32398864 + 1507984 = 5692^2 + 1228^2 .

It is a super-2 number, since 2×33906848² = 2299348682590208, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 1373 + ... + 8348.

Almost surely, 2^33906848 is an apocalyptic number.

It is an amenable number.

33906848 is a deficient number, since it is larger than the sum of its proper divisors (33466612).

33906848 is a wasteful number, since it uses less digits than its factorization.

33906848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9840 (or 9832 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 33906848 is about 5822.9586981190. The cubic root of 33906848 is about 323.6650503851.

The spelling of 33906848 in words is "thirty-three million, nine hundred six thousand, eight hundred forty-eight".