34689898368 has 192 divisors, whose sum is σ = 105467918400. Its totient is φ = 10926526464.

The previous prime is 34689898333. The next prime is 34689898387. The reversal of 34689898368 is 86389898643.

34689898368 is a `hidden beast` number, since 3 + 468 + 9 + 89 + 83 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 34689898296 and 34689898305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1559130 + ... + 1581222.

It is an arithmetic number, because the mean of its divisors is an integer number (549312075).

Almost surely, 2^34689898368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34689898368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52733959200).

34689898368 is an abundant number, since it is smaller than the sum of its proper divisors (70778020032).

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

34689898368 is a wasteful number, since it uses less digits than its factorization.

34689898368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22189 (or 22174 counting only the distinct ones).

The product of its digits is 429981696, while the sum is 72.

The spelling of 34689898368 in words is "thirty-four billion, six hundred eighty-nine million, eight hundred ninety-eight thousand, three hundred sixty-eight".