34362867168 has 336 divisors, whose sum is σ = 116723166336. Its totient is φ = 9750170880.

The previous prime is 34362867157. The next prime is 34362867173. The reversal of 34362867168 is 86176826343.

34362867168 is a `hidden beast` number, since 3 + 4 + 3 + 628 + 6 + 7 + 1 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×34362867168² (a number of 22 digits) contains 22 as substring.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 26616603 + ... + 26617893.

It is an arithmetic number, because the mean of its divisors is an integer number (347390376).

Almost surely, 2^34362867168 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 34362867168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58361583168).

34362867168 is an abundant number, since it is smaller than the sum of its proper divisors (82360299168).

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

34362867168 is a wasteful number, since it uses less digits than its factorization.

34362867168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1466 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 34362867168 in words is "thirty-four billion, three hundred sixty-two million, eight hundred sixty-seven thousand, one hundred sixty-eight".