33001400 has 48 divisors (see below), whose sum is σ = 77290440. Its totient is φ = 13104000.

The previous prime is 33001393. The next prime is 33001411. The reversal of 33001400 is 410033.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 30875 + ... + 31925.

Almost surely, 2^33001400 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 33001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38645220).

33001400 is an abundant number, since it is smaller than the sum of its proper divisors (44289040).

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

33001400 is a wasteful number, since it uses less digits than its factorization.

33001400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 33001400 is about 5744.6844996048. The cubic root of 33001400 is about 320.7579688426.

Adding to 33001400 its reverse (410033), we get a palindrome (33411433).

The spelling of 33001400 in words is "thirty-three million, one thousand, four hundred".