34580555680 has 192 divisors, whose sum is σ = 91132231680. Its totient is φ = 12294374400.

The previous prime is 34580555671. The next prime is 34580555701. The reversal of 34580555680 is 8655508543.

It is a super-2 number, since 2×34580555680² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15868831 + ... + 15871009.

It is an arithmetic number, because the mean of its divisors is an integer number (474647040).

Almost surely, 2^34580555680 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 34580555680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45566115840).

34580555680 is an abundant number, since it is smaller than the sum of its proper divisors (56551676000).

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

34580555680 is a wasteful number, since it uses less digits than its factorization.

34580555680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2403 (or 2395 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 49.

The spelling of 34580555680 in words is "thirty-four billion, five hundred eighty million, five hundred fifty-five thousand, six hundred eighty".