33894400 has 78 divisors (see below), whose sum is σ = 84301772. Its totient is φ = 13516800.

The previous prime is 33894391. The next prime is 33894403. The reversal of 33894400 is 449833.

It is a super-2 number, since 2×33894400² = 2297660702720000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33894403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 102235 + ... + 102565.

Almost surely, 2^33894400 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 33894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42150886).

33894400 is an abundant number, since it is smaller than the sum of its proper divisors (50407372).

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

33894400 is an equidigital number, since it uses as much as digits as its factorization.

33894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 33894400 is about 5821.8897275713. The cubic root of 33894400 is about 323.6254371906.

The spelling of 33894400 in words is "thirty-three million, eight hundred ninety-four thousand, four hundred".