33434430000 has 200 divisors, whose sum is σ = 111415535616. Its totient is φ = 8628000000.

The previous prime is 33434429999. The next prime is 33434430011. The reversal of 33434430000 is 3443433.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×33434430000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 39 ways as a sum of consecutive naturals, for example, 912025 + ... + 947975.

Almost surely, 2^33434430000 is an apocalyptic number.

33434430000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33434430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55707767808).

33434430000 is an abundant number, since it is smaller than the sum of its proper divisors (77981105616).

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

33434430000 is a wasteful number, since it uses less digits than its factorization.

33434430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36013 (or 35992 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 33434430000 its reverse (3443433), we get a palindrome (33437873433).

The spelling of 33434430000 in words is "thirty-three billion, four hundred thirty-four million, four hundred thirty thousand".