33849664 has 28 divisors (see below), whose sum is σ = 67811904. Its totient is φ = 16763264.

The previous prime is 33849631. The next prime is 33849667. The reversal of 33849664 is 46694833.

It is a super-2 number, since 2×33849664² = 2291599505825792, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33849664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33849667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4377 + ... + 9319.

Almost surely, 2^33849664 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 33849664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33905952).

33849664 is an abundant number, since it is smaller than the sum of its proper divisors (33962240).

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

33849664 is a wasteful number, since it uses less digits than its factorization.

33849664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5062 (or 5052 counting only the distinct ones).

The product of its digits is 373248, while the sum is 43.

The square root of 33849664 is about 5818.0464075152. The cubic root of 33849664 is about 323.4829939771.

The spelling of 33849664 in words is "thirty-three million, eight hundred forty-nine thousand, six hundred sixty-four".