33404436 has 72 divisors (see below), whose sum is σ = 91773864. Its totient is φ = 10183680.

The previous prime is 33404411. The next prime is 33404447. The reversal of 33404436 is 63440433.

It can be written as a sum of positive squares in 4 ways, for example, as 571536 + 32832900 = 756^2 + 5730^2 .

It is a super-2 number, since 2×33404436² = 2231712688956192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63856 + ... + 64376.

It is an arithmetic number, because the mean of its divisors is an integer number (1274637).

Almost surely, 2^33404436 is an apocalyptic number.

33404436 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33404436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45886932).

33404436 is an abundant number, since it is smaller than the sum of its proper divisors (58369428).

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

33404436 is a wasteful number, since it uses less digits than its factorization.

33404436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 33404436 is about 5779.6570832533. The cubic root of 33404436 is about 322.0584619234.

Adding to 33404436 its reverse (63440433), we get a palindrome (96844869).

It can be divided in two parts, 3340 and 4436, that added together give a 5-th power (7776 = 6⁵).

The spelling of 33404436 in words is "thirty-three million, four hundred four thousand, four hundred thirty-six".