34216922409984 has 264 divisors, whose sum is σ = 102980151722448. Its totient is φ = 11347727892480.

The previous prime is 34216922409953. The next prime is 34216922410063. The reversal of 34216922409984 is 48990422961243.

34216922409984 is a `hidden beast` number, since 3 + 4 + 216 + 9 + 2 + 2 + 409 + 9 + 8 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48670894 + ... + 49368914.

It is an arithmetic number, because the mean of its divisors is an integer number (390076332282).

Almost surely, 2^{34216922409984} 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 34216922409984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51490075861224).

34216922409984 is an abundant number, since it is smaller than the sum of its proper divisors (68763229312464).

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

34216922409984 is an equidigital number, since it uses as much as digits as its factorization.

34216922409984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698253 (or 698223 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 34216922409984 in words is "thirty-four trillion, two hundred sixteen billion, nine hundred twenty-two million, four hundred nine thousand, nine hundred eighty-four".