34085660544 has 224 divisors, whose sum is σ = 109646481000. Its totient is φ = 10487522304.

The previous prime is 34085660537. The next prime is 34085660549. The reversal of 34085660544 is 44506658043.

34085660544 is a `hidden beast` number, since 3 + 40 + 8 + 5 + 6 + 60 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 34085660544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34085660549) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1199007 + ... + 1227105.

Almost surely, 2^34085660544 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 34085660544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54823240500).

34085660544 is an abundant number, since it is smaller than the sum of its proper divisors (75560820456).

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

34085660544 is an equidigital number, since it uses as much as digits as its factorization.

34085660544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28144 (or 28117 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 34085660544 in words is "thirty-four billion, eighty-five million, six hundred sixty thousand, five hundred forty-four".