34251222000 has 160 divisors (see below), whose sum is σ = 110586475584. Its totient is φ = 9120384000.

The previous prime is 34251221969. The next prime is 34251222007. The reversal of 34251222000 is 22215243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34251222007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4538230 + ... + 4545770.

Almost surely, 2^34251222000 is an apocalyptic number.

34251222000 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 34251222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55293237792).

34251222000 is an abundant number, since it is smaller than the sum of its proper divisors (76335253584).

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

34251222000 is a wasteful number, since it uses less digits than its factorization.

34251222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8324 (or 8308 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 34251222000 its reverse (22215243), we get a palindrome (34273437243).

The spelling of 34251222000 in words is "thirty-four billion, two hundred fifty-one million, two hundred twenty-two thousand".