33334400 has 96 divisors (see below), whose sum is σ = 89927280. Its totient is φ = 12108800.

The previous prime is 33334361. The next prime is 33334423. The reversal of 33334400 is 443333.

It is a happy number.

It is a super-2 number, since 2×33334400² = 2222364446720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34727 + ... + 35673.

Almost surely, 2^33334400 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 33334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44963640).

33334400 is an abundant number, since it is smaller than the sum of its proper divisors (56592880).

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

33334400 is a wasteful number, since it uses less digits than its factorization.

33334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

The square root of 33334400 is about 5773.5950672003. The cubic root of 33334400 is about 321.8332276831.

Adding to 33334400 its reverse (443333), we get a palindrome (33777733).

It can be divided in two parts, 33 and 334400, that added together give a palindrome (334433).

The spelling of 33334400 in words is "thirty-three million, three hundred thirty-four thousand, four hundred".