34229329920 has 672 divisors, whose sum is σ = 130240918080. Its totient is φ = 8599633920.

The previous prime is 34229329829. The next prime is 34229329921. The reversal of 34229329920 is 2992392243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34229329921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189112230 + ... + 189112410.

It is an arithmetic number, because the mean of its divisors is an integer number (193810890).

Almost surely, 2^34229329920 is an apocalyptic number.

34229329920 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 34229329920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65120459040).

34229329920 is an abundant number, since it is smaller than the sum of its proper divisors (96011588160).

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

34229329920 is an equidigital number, since it uses as much as digits as its factorization.

34229329920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 34229329920 in words is "thirty-four billion, two hundred twenty-nine million, three hundred twenty-nine thousand, nine hundred twenty".