34477895808 has 256 divisors, whose sum is σ = 106229491200. Its totient is φ = 10998374400.

The previous prime is 34477895807. The next prime is 34477895831. The reversal of 34477895808 is 80859877443.

34477895808 is a `hidden beast` number, since 3 + 4 + 47 + 7 + 8 + 9 + 580 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (34477895807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7507593 + ... + 7512183.

It is an arithmetic number, because the mean of its divisors is an integer number (414958950).

Almost surely, 2^34477895808 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 34477895808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53114745600).

34477895808 is an abundant number, since it is smaller than the sum of its proper divisors (71751595392).

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

34477895808 is a wasteful number, since it uses less digits than its factorization.

34477895808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4708 (or 4690 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 34477895808 in words is "thirty-four billion, four hundred seventy-seven million, eight hundred ninety-five thousand, eight hundred eight".