33405332000 has 96 divisors (see below), whose sum is σ = 84907433520. Its totient is φ = 12901324800.

The previous prime is 33405331987. The next prime is 33405332021. The reversal of 33405332000 is 23350433.

It can be written as a sum of positive squares in 8 ways, for example, as 326452624 + 33078879376 = 18068^2 + 181876^2 .

It is a super-2 number, since 2×33405332000² (a number of 22 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 27989 + ... + 259988.

Almost surely, 2^33405332000 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 33405332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42453716760).

33405332000 is an abundant number, since it is smaller than the sum of its proper divisors (51502101520).

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

33405332000 is a wasteful number, since it uses less digits than its factorization.

33405332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288031 (or 288013 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 23.

Adding to 33405332000 its reverse (23350433), we get a palindrome (33428682433).

The spelling of 33405332000 in words is "thirty-three billion, four hundred five million, three hundred thirty-two thousand".