33668772 has 48 divisors (see below), whose sum is σ = 83809152. Its totient is φ = 10483200.

The previous prime is 33668771. The next prime is 33668801. The reversal of 33668772 is 27786633.

It is a super-2 number, since 2×33668772² = 2267172415975968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33668771) 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 15 ways as a sum of consecutive naturals, for example, 30258 + ... + 31350.

It is an arithmetic number, because the mean of its divisors is an integer number (1746024).

Almost surely, 2^33668772 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 33668772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41904576).

33668772 is an abundant number, since it is smaller than the sum of its proper divisors (50140380).

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

33668772 is a wasteful number, since it uses less digits than its factorization.

33668772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1266 counting only the distinct ones).

The product of its digits is 254016, while the sum is 42.

The square root of 33668772 is about 5802.4798146999. The cubic root of 33668772 is about 322.9057353515.

The spelling of 33668772 in words is "thirty-three million, six hundred sixty-eight thousand, seven hundred seventy-two".