33645040 has 160 divisors (see below), whose sum is σ = 97868736. Its totient is φ = 10567680.

The previous prime is 33644971. The next prime is 33645047. The reversal of 33645040 is 4054633.

It is a super-2 number, since 2×33645040² = 2263977433203200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33644996 and 33645014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33645047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194394 + ... + 194566.

Almost surely, 2^33645040 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 33645040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48934368).

33645040 is an abundant number, since it is smaller than the sum of its proper divisors (64223696).

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

33645040 is a wasteful number, since it uses less digits than its factorization.

33645040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 33645040 is about 5800.4344664861. The cubic root of 33645040 is about 322.8298490067.

Adding to 33645040 its reverse (4054633), we get a palindrome (37699673).

The spelling of 33645040 in words is "thirty-three million, six hundred forty-five thousand, forty".