33621672 has 128 divisors (see below), whose sum is σ = 101836800. Its totient is φ = 9047808.

The previous prime is 33621661. The next prime is 33621673. The reversal of 33621672 is 27612633.

It is a super-2 number, since 2×33621672² = 2260833656151168, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (33621673) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 326373 + ... + 326475.

It is an arithmetic number, because the mean of its divisors is an integer number (795600).

Almost surely, 2^33621672 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 33621672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50918400).

33621672 is an abundant number, since it is smaller than the sum of its proper divisors (68215128).

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

33621672 is a wasteful number, since it uses less digits than its factorization.

33621672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 211 counting only the distinct ones).

The product of its digits is 9072, while the sum is 30.

The square root of 33621672 is about 5798.4197847345. The cubic root of 33621672 is about 322.7550917259.

The spelling of 33621672 in words is "thirty-three million, six hundred twenty-one thousand, six hundred seventy-two".