34955255808 has 280 divisors, whose sum is σ = 113945075640. Its totient is φ = 10590289920.

The previous prime is 34955255779. The next prime is 34955255827. The reversal of 34955255808 is 80855255943.

It is a happy number.

34955255808 is a `hidden beast` number, since 3 + 4 + 9 + 5 + 52 + 5 + 580 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7296678 + ... + 7301466.

Almost surely, 2^34955255808 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 34955255808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56972537820).

34955255808 is an abundant number, since it is smaller than the sum of its proper divisors (78989819832).

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

34955255808 is an equidigital number, since it uses as much as digits as its factorization.

34955255808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4838 (or 4805 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 54.

The spelling of 34955255808 in words is "thirty-four billion, nine hundred fifty-five million, two hundred fifty-five thousand, eight hundred eight".