34603785216 has 1056 divisors, whose sum is σ = 139627278336. Its totient is φ = 8028979200.

The previous prime is 34603785199. The next prime is 34603785221. The reversal of 34603785216 is 61258730643.

34603785216 is a `hidden beast` number, since 3 + 4 + 60 + 378 + 5 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-3 number, since 3×34603785216³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1116251121 + ... + 1116251151.

Almost surely, 2^34603785216 is an apocalyptic number.

34603785216 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 34603785216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69813639168).

34603785216 is an abundant number, since it is smaller than the sum of its proper divisors (105023493120).

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

34603785216 is a wasteful number, since it uses less digits than its factorization.

34603785216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 34603785216 in words is "thirty-four billion, six hundred three million, seven hundred eighty-five thousand, two hundred sixteen".