34568067072 has 384 divisors, whose sum is σ = 116332070400. Its totient is φ = 8867020800.

The previous prime is 34568067013. The next prime is 34568067113. The reversal of 34568067072 is 27076086543.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×34568067072² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42104422 + ... + 42105242.

It is an arithmetic number, because the mean of its divisors is an integer number (302948100).

Almost surely, 2^34568067072 is an apocalyptic number.

34568067072 is a gapful number since it is divisible by the number (32) 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 34568067072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58166035200).

34568067072 is an abundant number, since it is smaller than the sum of its proper divisors (81764003328).

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

34568067072 is a wasteful number, since it uses less digits than its factorization.

34568067072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 34568067072 in words is "thirty-four billion, five hundred sixty-eight million, sixty-seven thousand, seventy-two".