33509440 has 28 divisors (see below), whose sum is σ = 79795116. Its totient is φ = 13403648.

The previous prime is 33509429. The next prime is 33509461. The reversal of 33509440 is 4490533.

It can be written as a sum of positive squares in 2 ways, for example, as 6718464 + 26790976 = 2592^2 + 5176^2 .

It is a super-2 number, since 2×33509440² = 2245765138227200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33509399 and 33509408.

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, 52039 + ... + 52678.

Almost surely, 2^33509440 is an apocalyptic number.

It is an amenable number.

33509440 is an abundant number, since it is smaller than the sum of its proper divisors (46285676).

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

33509440 is a wasteful number, since it uses less digits than its factorization.

33509440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104734 (or 104724 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 33509440 is about 5788.7338857474. The cubic root of 33509440 is about 322.3955634032.

Adding to 33509440 its reverse (4490533), we get a palindrome (37999973).

The spelling of 33509440 in words is "thirty-three million, five hundred nine thousand, four hundred forty".