34223045200 has 120 divisors (see below), whose sum is σ = 85211331840. Its totient is φ = 13194854400.

The previous prime is 34223045189. The next prime is 34223045209. The reversal of 34223045200 is 254032243.

It is a super-2 number, since 2×34223045200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34223045209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3181431 + ... + 3192169.

It is an arithmetic number, because the mean of its divisors is an integer number (710094432).

Almost surely, 2^34223045200 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 34223045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42605665920).

34223045200 is an abundant number, since it is smaller than the sum of its proper divisors (50988286640).

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

34223045200 is a wasteful number, since it uses less digits than its factorization.

34223045200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11045 (or 11034 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 34223045200 its reverse (254032243), we get a palindrome (34477077443).

The spelling of 34223045200 in words is "thirty-four billion, two hundred twenty-three million, forty-five thousand, two hundred".