33390144 has 168 divisors, whose sum is σ = 105399840. Its totient is φ = 10450944.

The previous prime is 33390143. The next prime is 33390151. The reversal of 33390144 is 44109333.

It is a super-2 number, since 2×33390144² = 2229803432681472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33390143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295432 + ... + 295544.

It is an arithmetic number, because the mean of its divisors is an integer number (627380).

Almost surely, 2^33390144 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 33390144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52699920).

33390144 is an abundant number, since it is smaller than the sum of its proper divisors (72009696).

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

33390144 is a wasteful number, since it uses less digits than its factorization.

33390144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 33390144 is about 5778.4205454432. The cubic root of 33390144 is about 322.0125247498.

Adding to 33390144 its reverse (44109333), we get a palindrome (77499477).

The spelling of 33390144 in words is "thirty-three million, three hundred ninety thousand, one hundred forty-four".