34509771080064 has 1536 divisors, whose sum is σ = 132044038963200. Its totient is φ = 8743624040448.

The previous prime is 34509771080063. The next prime is 34509771080077. The reversal of 34509771080064 is 46008017790543.

34509771080064 is a `hidden beast` number, since 3 + 4 + 509 + 7 + 71 + 0 + 8 + 0 + 0 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34509771080063) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4471911534 + ... + 4471919250.

It is an arithmetic number, because the mean of its divisors is an integer number (85966171200).

Almost surely, 2^{34509771080064} 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 34509771080064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66022019481600).

34509771080064 is an abundant number, since it is smaller than the sum of its proper divisors (97534267883136).

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

34509771080064 is a wasteful number, since it uses less digits than its factorization.

34509771080064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7842 (or 7818 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 34509771080064 in words is "thirty-four trillion, five hundred nine billion, seven hundred seventy-one million, eighty thousand, sixty-four".