34908844727808 has 160 divisors (see below), whose sum is σ = 103343279133600. Its totient is φ = 11635079528448.

The previous prime is 34908844727797. The next prime is 34908844727831. The reversal of 34908844727808 is 80872744880943.

It is a happy number.

34908844727808 is a `hidden beast` number, since 3 + 4 + 9 + 0 + 8 + 84 + 472 + 78 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139068460 + ... + 139319252.

It is an arithmetic number, because the mean of its divisors is an integer number (645895494585).

Almost surely, 2^{34908844727808} 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 34908844727808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51671639566800).

34908844727808 is an abundant number, since it is smaller than the sum of its proper divisors (68434434405792).

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

34908844727808 is a wasteful number, since it uses less digits than its factorization.

34908844727808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260889 (or 260867 counting only the distinct ones).

The product of its (nonzero) digits is 693633024, while the sum is 72.

The spelling of 34908844727808 in words is "thirty-four trillion, nine hundred eight billion, eight hundred forty-four million, seven hundred twenty-seven thousand, eight hundred eight".