34253322400 has 144 divisors (see below), whose sum is σ = 91944115200. Its totient is φ = 12357273600.

The previous prime is 34253322391. The next prime is 34253322413. The reversal of 34253322400 is 422335243.

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 23 ways as a sum of consecutive naturals, for example, 1102276 + ... + 1132924.

It is an arithmetic number, because the mean of its divisors is an integer number (638500800).

Almost surely, 2^34253322400 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 34253322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45972057600).

34253322400 is an abundant number, since it is smaller than the sum of its proper divisors (57690792800).

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

34253322400 is a wasteful number, since it uses less digits than its factorization.

34253322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30807 (or 30794 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 28.

Adding to 34253322400 its reverse (422335243), we get a palindrome (34675657643).

It can be divided in two parts, 34253 and 322400, that added together give a palindrome (356653).

The spelling of 34253322400 in words is "thirty-four billion, two hundred fifty-three million, three hundred twenty-two thousand, four hundred".