34353612216 has 256 divisors, whose sum is σ = 119149056000. Its totient is φ = 8909861760.

The previous prime is 34353612197. The next prime is 34353612217. The reversal of 34353612216 is 61221635343.

34353612216 is a `hidden beast` number, since 3 + 4 + 35 + 3 + 612 + 2 + 1 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34353612217) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16946995 + ... + 16949021.

It is an arithmetic number, because the mean of its divisors is an integer number (465426000).

Almost surely, 2^34353612216 is an apocalyptic number.

34353612216 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 34353612216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59574528000).

34353612216 is an abundant number, since it is smaller than the sum of its proper divisors (84795443784).

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

34353612216 is a wasteful number, since it uses less digits than its factorization.

34353612216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3079 (or 3069 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The spelling of 34353612216 in words is "thirty-four billion, three hundred fifty-three million, six hundred twelve thousand, two hundred sixteen".