34003780608 has 176 divisors, whose sum is σ = 104403943424. Its totient is φ = 9638092800.

The previous prime is 34003780607. The next prime is 34003780609. The reversal of 34003780608 is 80608730043.

It is an interprime number because it is at equal distance from previous prime (34003780607) and next prime (34003780609).

It is not an unprimeable number, because it can be changed into a prime (34003780607) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2724783 + ... + 2737233.

It is an arithmetic number, because the mean of its divisors is an integer number (593204224).

Almost surely, 2^34003780608 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 34003780608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52201971712).

34003780608 is an abundant number, since it is smaller than the sum of its proper divisors (70400162816).

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

34003780608 is a wasteful number, since it uses less digits than its factorization.

34003780608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12608 (or 12590 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 34003780608 in words is "thirty-four billion, three million, seven hundred eighty thousand, six hundred eight".