34807140674064 has 240 divisors, whose sum is σ = 106469888616000. Its totient is φ = 10527517900800.

The previous prime is 34807140674057. The next prime is 34807140674069. The reversal of 34807140674064 is 46047604170843.

34807140674064 is a `hidden beast` number, since 3 + 48 + 0 + 71 + 406 + 74 + 0 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 34807140674064.

It is not an unprimeable number, because it can be changed into a prime (34807140674069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5045240887 + ... + 5045247785.

It is an arithmetic number, because the mean of its divisors is an integer number (443624535900).

Almost surely, 2^{34807140674064} 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 34807140674064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53234944308000).

34807140674064 is an abundant number, since it is smaller than the sum of its proper divisors (71662747941936).

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

34807140674064 is a wasteful number, since it uses less digits than its factorization.

34807140674064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12534 (or 12525 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 34807140674064 in words is "thirty-four trillion, eight hundred seven billion, one hundred forty million, six hundred seventy-four thousand, sixty-four".