33729846 has 12 divisors (see below), whose sum is σ = 67488156. Its totient is φ = 11238540.

The previous prime is 33729841. The next prime is 33729847. The reversal of 33729846 is 64892733.

It is a super-2 number, since 2×33729846² = 2275405022367432, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33729798 and 33729807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33729841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13041 + ... + 15411.

It is an arithmetic number, because the mean of its divisors is an integer number (5624013).

Almost surely, 2^33729846 is an apocalyptic number.

33729846 is an abundant number, since it is smaller than the sum of its proper divisors (33758310).

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

33729846 is an frugal number, since it uses more digits than its factorization.

33729846 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4747 (or 2376 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 33729846 is about 5807.7401801389. The cubic root of 33729846 is about 323.1008640640.

The spelling of 33729846 in words is "thirty-three million, seven hundred twenty-nine thousand, eight hundred forty-six".