34965686016 has 432 divisors, whose sum is σ = 111114047520. Its totient is φ = 10977970176.

The previous prime is 34965686009. The next prime is 34965686081. The reversal of 34965686016 is 61068656943.

34965686016 is a `hidden beast` number, since 3 + 4 + 9 + 6 + 568 + 60 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202113706 + ... + 202113878.

Almost surely, 2^34965686016 is an apocalyptic number.

34965686016 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 34965686016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55557023760).

34965686016 is an abundant number, since it is smaller than the sum of its proper divisors (76148361504).

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

34965686016 is an frugal number, since it uses more digits than its factorization.

34965686016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 34965686016 in words is "thirty-four billion, nine hundred sixty-five million, six hundred eighty-six thousand, sixteen".