34005389880 has 384 divisors, whose sum is σ = 129029322240. Its totient is φ = 7017753600.

The previous prime is 34005389839. The next prime is 34005389881. The reversal of 34005389880 is 8898350043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34005389881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15956415 + ... + 15958545.

It is an arithmetic number, because the mean of its divisors is an integer number (336013860).

Almost surely, 2^34005389880 is an apocalyptic number.

34005389880 is a gapful number since it is divisible by the number (30) 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 34005389880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64514661120).

34005389880 is an abundant number, since it is smaller than the sum of its proper divisors (95023932360).

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

34005389880 is a wasteful number, since it uses less digits than its factorization.

34005389880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2331 (or 2316 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 34005389880 in words is "thirty-four billion, five million, three hundred eighty-nine thousand, eight hundred eighty".