34555835664 has 135 divisors (see below), whose sum is σ = 112548321093. Its totient is φ = 9868634496.

The previous prime is 34555835659. The next prime is 34555835669. The reversal of 34555835664 is 46653855543.

The square root of 34555835664 is 185892.

It is a perfect power (a square), and thus also a powerful number.

34555835664 is a `hidden beast` number, since 3 + 4 + 5 + 5 + 583 + 56 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (34555835659) and next prime (34555835669).

It can be written as a sum of positive squares in only one way, i.e., 34306448400 + 249387264 = 185220^2 + 15792^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34555835664.

It is not an unprimeable number, because it can be changed into a prime (34555835669) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15613822 + ... + 15616034.

Almost surely, 2^34555835664 is an apocalyptic number.

34555835664 is the 185892-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34555835664

34555835664 is an abundant number, since it is smaller than the sum of its proper divisors (77992485429).

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

34555835664 is an equidigital number, since it uses as much as digits as its factorization.

34555835664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4454 (or 2225 counting only the distinct ones).

The product of its digits is 25920000, while the sum is 54.

The spelling of 34555835664 in words is "thirty-four billion, five hundred fifty-five million, eight hundred thirty-five thousand, six hundred sixty-four".