33345040 has 40 divisors (see below), whose sum is σ = 78809688. Its totient is φ = 13117440.

The previous prime is 33345023. The next prime is 33345047. The reversal of 33345040 is 4054333.

It can be written as a sum of positive squares in 4 ways, for example, as 1218816 + 32126224 = 1104^2 + 5668^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×33345040² = 2223783385203200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33345047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1464 + ... + 8296.

Almost surely, 2^33345040 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 33345040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39404844).

33345040 is an abundant number, since it is smaller than the sum of its proper divisors (45464648).

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

33345040 is a wasteful number, since it uses less digits than its factorization.

33345040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6907 (or 6901 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 22.

The square root of 33345040 is about 5774.5164299706. The cubic root of 33345040 is about 321.8674660002.

Adding to 33345040 its reverse (4054333), we get a palindrome (37399373).

The spelling of 33345040 in words is "thirty-three million, three hundred forty-five thousand, forty".