33054400 has 84 divisors (see below), whose sum is σ = 82739992. Its totient is φ = 12994560.

The previous prime is 33054397. The next prime is 33054407. The reversal of 33054400 is 445033.

It is not an unprimeable number, because it can be changed into a prime (33054407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116659 + ... + 116941.

Almost surely, 2^33054400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41369996).

33054400 is an abundant number, since it is smaller than the sum of its proper divisors (49685592).

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

33054400 is a wasteful number, since it uses less digits than its factorization.

33054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 33054400 is about 5749.2956090290. The cubic root of 33054400 is about 320.9295886299.

Adding to 33054400 its reverse (445033), we get a palindrome (33499433).

The spelling of 33054400 in words is "thirty-three million, fifty-four thousand, four hundred".