34222153200 has 240 divisors, whose sum is σ = 111153811296. Its totient is φ = 8999424000.

The previous prime is 34222153177. The next prime is 34222153211. The reversal of 34222153200 is 235122243.

It is a tau number, because it is divible by the number of its divisors (240).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45207222 + ... + 45207978.

Almost surely, 2^34222153200 is an apocalyptic number.

34222153200 is a gapful number since it is divisible by the number (30) 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 34222153200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55576905648).

34222153200 is an abundant number, since it is smaller than the sum of its proper divisors (76931658096).

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

34222153200 is a wasteful number, since it uses less digits than its factorization.

34222153200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 34222153200 its reverse (235122243), we get a palindrome (34457275443).

The spelling of 34222153200 in words is "thirty-four billion, two hundred twenty-two million, one hundred fifty-three thousand, two hundred".