20034434000 has 240 divisors, whose sum is σ = 57010346640. Its totient is φ = 6788812800.

The previous prime is 20034433963. The next prime is 20034434003. The reversal of 20034434000 is 43443002.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 10036833856 + 9997600144 = 100184^2 + 99988^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20034434003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8720852 + ... + 8723148.

It is an arithmetic number, because the mean of its divisors is an integer number (237543111).

Almost surely, 2^20034434000 is an apocalyptic number.

20034434000 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 20034434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28505173320).

20034434000 is an abundant number, since it is smaller than the sum of its proper divisors (36975912640).

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

20034434000 is a wasteful number, since it uses less digits than its factorization.

20034434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2423 (or 2400 counting only the distinct ones).

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

Adding to 20034434000 its reverse (43443002), we get a palindrome (20077877002).

The spelling of 20034434000 in words is "twenty billion, thirty-four million, four hundred thirty-four thousand".