33404400 has 150 divisors (see below), whose sum is σ = 120001992. Its totient is φ = 8899200.

The previous prime is 33404389. The next prime is 33404401. The reversal of 33404400 is 440433.

It is a tau number, because it is divible by the number of its divisors (150).

It is a super-2 number, since 2×33404400² = 2231707878720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33404401) 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 29 ways as a sum of consecutive naturals, for example, 31885 + ... + 32915.

Almost surely, 2^33404400 is an apocalyptic number.

33404400 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 33404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60000996).

33404400 is an abundant number, since it is smaller than the sum of its proper divisors (86597592).

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

33404400 is a wasteful number, since it uses less digits than its factorization.

33404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 33404400 is about 5779.6539688808. The cubic root of 33404400 is about 322.0583462291.

Adding to 33404400 its reverse (440433), we get a palindrome (33844833).

The spelling of 33404400 in words is "thirty-three million, four hundred four thousand, four hundred".