34829905312230 has 256 divisors, whose sum is σ = 101854126080000. Its totient is φ = 7445207218176.

The previous prime is 34829905312229. The next prime is 34829905312261. The reversal of 34829905312230 is 3221350992843.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2789287047 + ... + 2789299533.

It is an arithmetic number, because the mean of its divisors is an integer number (397867680000).

Almost surely, 2^{34829905312230} is an apocalyptic number.

34829905312230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34829905312230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50927063040000).

34829905312230 is an abundant number, since it is smaller than the sum of its proper divisors (67024220767770).

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

34829905312230 is a wasteful number, since it uses less digits than its factorization.

34829905312230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21451.

The product of its (nonzero) digits is 2799360, while the sum is 51.

The spelling of 34829905312230 in words is "thirty-four trillion, eight hundred twenty-nine billion, nine hundred five million, three hundred twelve thousand, two hundred thirty".