33870144 has 224 divisors, whose sum is σ = 117043200. Its totient is φ = 8386560.

The previous prime is 33870143. The next prime is 33870157. The reversal of 33870144 is 44107833.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×33870144² = 2294373309161472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33870143) 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, 428697 + ... + 428775.

Almost surely, 2^33870144 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 33870144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58521600).

33870144 is an abundant number, since it is smaller than the sum of its proper divisors (83173056).

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

33870144 is a wasteful number, since it uses less digits than its factorization.

33870144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 33870144 is about 5819.8061823398. The cubic root of 33870144 is about 323.5482195982.

Adding to 33870144 its reverse (44107833), we get a palindrome (77977977).

The spelling of 33870144 in words is "thirty-three million, eight hundred seventy thousand, one hundred forty-four".