33480144 has 60 divisors (see below), whose sum is σ = 95894656. Its totient is φ = 10898496.

The previous prime is 33480131. The next prime is 33480179. The reversal of 33480144 is 44108433.

It is a super-2 number, since 2×33480144² = 2241840084521472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3489 + ... + 8895.

Almost surely, 2^33480144 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 33480144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47947328).

33480144 is an abundant number, since it is smaller than the sum of its proper divisors (62414512).

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

33480144 is a wasteful number, since it uses less digits than its factorization.

33480144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5464 (or 5455 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 33480144 is about 5786.2029000027. The cubic root of 33480144 is about 322.3015833765.

Adding to 33480144 its reverse (44108433), we get a palindrome (77588577).

The spelling of 33480144 in words is "thirty-three million, four hundred eighty thousand, one hundred forty-four".