20034340800 has 168 divisors, whose sum is σ = 66522575616. Its totient is φ = 5278018560.

The previous prime is 20034340771. The next prime is 20034340853. The reversal of 20034340800 is 804343002.

It is a super-2 number, since 2×20034340800² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 373257 + ... + 423543.

It is an arithmetic number, because the mean of its divisors is an integer number (395967712).

Almost surely, 2^20034340800 is an apocalyptic number.

20034340800 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 20034340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33261287808).

20034340800 is an abundant number, since it is smaller than the sum of its proper divisors (46488234816).

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

20034340800 is a wasteful number, since it uses less digits than its factorization.

20034340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50395 (or 50380 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 20034340800 its reverse (804343002), we get a palindrome (20838683802).

The spelling of 20034340800 in words is "twenty billion, thirty-four million, three hundred forty thousand, eight hundred".