33404340 has 96 divisors (see below), whose sum is σ = 98671104. Its totient is φ = 8432640.

The previous prime is 33404323. The next prime is 33404347. The reversal of 33404340 is 4340433.

It is a super-2 number, since 2×33404340² = 2231699861671200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33404347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90837 + ... + 91203.

It is an arithmetic number, because the mean of its divisors is an integer number (1027824).

Almost surely, 2^33404340 is an apocalyptic number.

33404340 is a gapful number since it is divisible by the number (30) 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 33404340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49335552).

33404340 is an abundant number, since it is smaller than the sum of its proper divisors (65266764).

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

33404340 is a wasteful number, since it uses less digits than its factorization.

33404340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 33404340 is about 5779.6487782563. The cubic root of 33404340 is about 322.0581534051.

Adding to 33404340 its reverse (4340433), we get a palindrome (37744773).

The spelling of 33404340 in words is "thirty-three million, four hundred four thousand, three hundred forty".