33244004000 has 96 divisors (see below), whose sum is σ = 81755122176. Its totient is φ = 13285459200.

The previous prime is 33244003993. The next prime is 33244004009. The reversal of 33244004000 is 40044233.

It is a happy number.

It is a super-2 number, since 2×33244004000² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (33244004009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5304869 + ... + 5311131.

It is an arithmetic number, because the mean of its divisors is an integer number (851615856).

Almost surely, 2^33244004000 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 33244004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40877561088).

33244004000 is an abundant number, since it is smaller than the sum of its proper divisors (48511118176).

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

33244004000 is a wasteful number, since it uses less digits than its factorization.

33244004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7615 (or 7597 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 33244004000 its reverse (40044233), we get a palindrome (33284048233).

The spelling of 33244004000 in words is "thirty-three billion, two hundred forty-four million, four thousand".