34216605450 has 72 divisors (see below), whose sum is σ = 92015901900. Its totient is φ = 9115764480.

The previous prime is 34216605443. The next prime is 34216605509. The reversal of 34216605450 is 5450661243.

34216605450 is a `hidden beast` number, since 3 + 4 + 2 + 1 + 6 + 605 + 45 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 6945055569 + 27271549881 = 83337^2 + 165141^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 445486 + ... + 516614.

Almost surely, 2^34216605450 is an apocalyptic number.

34216605450 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 34216605450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46007950950).

34216605450 is an abundant number, since it is smaller than the sum of its proper divisors (57799296450).

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

34216605450 is a wasteful number, since it uses less digits than its factorization.

34216605450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72216 (or 72208 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 34216605450 in words is "thirty-four billion, two hundred sixteen million, six hundred five thousand, four hundred fifty".