34520964341760 has 3360 divisors, whose sum is σ = 149175751198320. Its totient is φ = 7563940724736.

The previous prime is 34520964341753. The next prime is 34520964341771. The reversal of 34520964341760 is 6714346902543.

34520964341760 is a `hidden beast` number, since 3 + 4 + 52 + 0 + 96 + 434 + 1 + 76 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7962690686976 + 26558273654784 = 2821824^2 + 5153472^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 34520964341697 and 34520964341706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 387876003796 + ... + 387876003884.

Almost surely, 2^{34520964341760} is an apocalyptic number.

34520964341760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34520964341760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74587875599160).

34520964341760 is an abundant number, since it is smaller than the sum of its proper divisors (114654786856560).

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

34520964341760 is a wasteful number, since it uses less digits than its factorization.

34520964341760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 34520964341760 in words is "thirty-four trillion, five hundred twenty billion, nine hundred sixty-four million, three hundred forty-one thousand, seven hundred sixty".