34446537216 has 720 divisors, whose sum is σ = 126163889280. Its totient is φ = 8856207360.

The previous prime is 34446537211. The next prime is 34446537221. The reversal of 34446537216 is 61273564443.

34446537216 is a `hidden beast` number, since 344 + 4 + 65 + 37 + 216 = 666.

It is an interprime number because it is at equal distance from previous prime (34446537211) and next prime (34446537221).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34446537211) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 387039700 + ... + 387039788.

It is an arithmetic number, because the mean of its divisors is an integer number (175227624).

Almost surely, 2^34446537216 is an apocalyptic number.

34446537216 is a gapful number since it is divisible by the number (36) 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 34446537216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63081944640).

34446537216 is an abundant number, since it is smaller than the sum of its proper divisors (91717352064).

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

34446537216 is a wasteful number, since it uses less digits than its factorization.

34446537216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 185 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The spelling of 34446537216 in words is "thirty-four billion, four hundred forty-six million, five hundred thirty-seven thousand, two hundred sixteen".