33649040 has 20 divisors (see below), whose sum is σ = 78234204. Its totient is φ = 13459584.

The previous prime is 33649037. The next prime is 33649051. The reversal of 33649040 is 4094633.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7311616 + 26337424 = 2704^2 + 5132^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×33649040² = 2264515785843200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 33648994 and 33649012.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 210227 + ... + 210386.

Almost surely, 2^33649040 is an apocalyptic number.

It is an amenable number.

33649040 is an abundant number, since it is smaller than the sum of its proper divisors (44585164).

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

33649040 is a wasteful number, since it uses less digits than its factorization.

33649040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420626 (or 420620 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

The square root of 33649040 is about 5800.7792579963. The cubic root of 33649040 is about 322.8426420586.

The spelling of 33649040 in words is "thirty-three million, six hundred forty-nine thousand, forty".