34056600744320 has 512 divisors, whose sum is σ = 102353198745600. Its totient is φ = 10526804213760.

The previous prime is 34056600744317. The next prime is 34056600744323. The reversal of 34056600744320 is 2344700665043.

It is an interprime number because it is at equal distance from previous prime (34056600744317) and next prime (34056600744323).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34056600744323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3486900077 + ... + 3486909843.

It is an arithmetic number, because the mean of its divisors is an integer number (199908591300).

Almost surely, 2^{34056600744320} 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 34056600744320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51176599372800).

34056600744320 is an abundant number, since it is smaller than the sum of its proper divisors (68296598001280).

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

34056600744320 is a wasteful number, since it uses less digits than its factorization.

34056600744320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10386 (or 10374 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 44.

The spelling of 34056600744320 in words is "thirty-four trillion, fifty-six billion, six hundred million, seven hundred forty-four thousand, three hundred twenty".