34840300608 has 210 divisors, whose sum is σ = 109005169086. Its totient is φ = 11001609216.

The previous prime is 34840300597. The next prime is 34840300619. The reversal of 34840300608 is 80600304843.

34840300608 is a `hidden beast` number, since 3 + 4 + 8 + 40 + 3 + 0 + 0 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (34840300597) and next prime (34840300619).

It can be written as a sum of positive squares in only one way, i.e., 34613858304 + 226442304 = 186048^2 + 15048^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1862116 + ... + 1880732.

Almost surely, 2^34840300608 is an apocalyptic number.

34840300608 is a gapful number since it is divisible by the number (38) 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 34840300608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54502584543).

34840300608 is an abundant number, since it is smaller than the sum of its proper divisors (74164868478).

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

34840300608 is a wasteful number, since it uses less digits than its factorization.

34840300608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18679 (or 18641 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 34840300608 in words is "thirty-four billion, eight hundred forty million, three hundred thousand, six hundred eight".