34590369760 has 96 divisors (see below), whose sum is σ = 86231718720. Its totient is φ = 13085749248.

The previous prime is 34590369757. The next prime is 34590369773. The reversal of 34590369760 is 6796309543.

34590369760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 34590369698 and 34590369707.

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, 274714 + ... + 380326.

It is an arithmetic number, because the mean of its divisors is an integer number (898247070).

Almost surely, 2^34590369760 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 34590369760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43115859360).

34590369760 is an abundant number, since it is smaller than the sum of its proper divisors (51641348960).

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

34590369760 is a wasteful number, since it uses less digits than its factorization.

34590369760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105740 (or 105732 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 52.

The spelling of 34590369760 in words is "thirty-four billion, five hundred ninety million, three hundred sixty-nine thousand, seven hundred sixty".