34228213120 has 128 divisors (see below), whose sum is σ = 82673317440. Its totient is φ = 13550444544.

The previous prime is 34228213109. The next prime is 34228213121. The reversal of 34228213120 is 2131282243.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34228213121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31315294 + ... + 31316386.

Almost surely, 2^34228213120 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 34228213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41336658720).

34228213120 is an abundant number, since it is smaller than the sum of its proper divisors (48445104320).

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

34228213120 is a wasteful number, since it uses less digits than its factorization.

34228213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 34228213120 its reverse (2131282243), we get a palindrome (36359495363).

The spelling of 34228213120 in words is "thirty-four billion, two hundred twenty-eight million, two hundred thirteen thousand, one hundred twenty".