34546113577040 has 160 divisors (see below), whose sum is σ = 89720772815520. Its totient is φ = 12282621861888.

The previous prime is 34546113577039. The next prime is 34546113577057. The reversal of 34546113577040 is 4077531164543.

It can be written as a sum of positive squares in 16 ways, for example, as 11873317109824 + 22672796467216 = 3445768^2 + 4761596^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34546113577040.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 9714254 + ... + 12785106.

It is an arithmetic number, because the mean of its divisors is an integer number (560754830097).

Almost surely, 2^{34546113577040} 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 34546113577040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44860386407760).

34546113577040 is an abundant number, since it is smaller than the sum of its proper divisors (55174659238480).

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

34546113577040 is a wasteful number, since it uses less digits than its factorization.

34546113577040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3071281 (or 3071275 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 50.

The spelling of 34546113577040 in words is "thirty-four trillion, five hundred forty-six billion, one hundred thirteen million, five hundred seventy-seven thousand, forty".