34390000080 has 120 divisors (see below), whose sum is σ = 115655454720. Its totient is φ = 9157774080.

The previous prime is 34390000037. The next prime is 34390000087. The reversal of 34390000080 is 8000009343.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 34389999999 and 34390000053.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34390000087) 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 23 ways as a sum of consecutive naturals, for example, 484465 + ... + 550895.

It is an arithmetic number, because the mean of its divisors is an integer number (963795456).

Almost surely, 2^34390000080 is an apocalyptic number.

34390000080 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 34390000080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57827727360).

34390000080 is an abundant number, since it is smaller than the sum of its proper divisors (81265454640).

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

34390000080 is a wasteful number, since it uses less digits than its factorization.

34390000080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67169 (or 67160 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 34390000080 in words is "thirty-four billion, three hundred ninety million, eighty", and thus it is an aban number.