34856386560 has 720 divisors, whose sum is σ = 133966175616. Its totient is φ = 8663334912.

The previous prime is 34856386549. The next prime is 34856386561. The reversal of 34856386560 is 6568365843.

It is a happy number.

34856386560 is a `hidden beast` number, since 3 + 48 + 5 + 6 + 38 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 = 34856386497 and 34856386506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34856386561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 338411469 + ... + 338411571.

Almost surely, 2^34856386560 is an apocalyptic number.

34856386560 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 34856386560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66983087808).

34856386560 is an abundant number, since it is smaller than the sum of its proper divisors (99109789056).

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

34856386560 is an equidigital number, since it uses as much as digits as its factorization.

34856386560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 34856386560 in words is "thirty-four billion, eight hundred fifty-six million, three hundred eighty-six thousand, five hundred sixty".