34216058227200 has 480 divisors, whose sum is σ = 118530255096000. Its totient is φ = 8688950968320.

The previous prime is 34216058227139. The next prime is 34216058227261. The reversal of 34216058227200 is 272285061243.

It is an interprime number because it is at equal distance from previous prime (34216058227139) and next prime (34216058227261).

It is a tau number, because it is divible by the number of its divisors (480).

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, 81082351 + ... + 81503249.

It is an arithmetic number, because the mean of its divisors is an integer number (246938031450).

Almost surely, 2^{34216058227200} is an apocalyptic number.

34216058227200 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 34216058227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59265127548000).

34216058227200 is an abundant number, since it is smaller than the sum of its proper divisors (84314196868800).

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

34216058227200 is a wasteful number, since it uses less digits than its factorization.

34216058227200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421032 (or 421011 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 34216058227200 in words is "thirty-four trillion, two hundred sixteen billion, fifty-eight million, two hundred twenty-seven thousand, two hundred".