20034432000 has 1408 divisors, whose sum is σ = 88288911360. Its totient is φ = 4423680000.

The previous prime is 20034431987. The next prime is 20034432001. The reversal of 20034432000 is 23443002.

20034432000 is a `hidden beast` number, since 2 + 0 + 0 + 344 + 320 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20034432001) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 646271985 + ... + 646272015.

Almost surely, 2^20034432000 is an apocalyptic number.

20034432000 is a gapful number since it is divisible by the number (20) 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 20034432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44144455680).

20034432000 is an abundant number, since it is smaller than the sum of its proper divisors (68254479360).

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

20034432000 is a wasteful number, since it uses less digits than its factorization.

20034432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 20034432000 its reverse (23443002), we get a palindrome (20057875002).

The spelling of 20034432000 in words is "twenty billion, thirty-four million, four hundred thirty-two thousand".