34286468580 has 576 divisors, whose sum is σ = 134069644800. Its totient is φ = 6897623040.

The previous prime is 34286468539. The next prime is 34286468597. The reversal of 34286468580 is 8586468243.

34286468580 is a `hidden beast` number, since 3 + 428 + 64 + 6 + 85 + 80 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42276375 + ... + 42277185.

It is an arithmetic number, because the mean of its divisors is an integer number (232759800).

Almost surely, 2^34286468580 is an apocalyptic number.

34286468580 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 34286468580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67034822400).

34286468580 is an abundant number, since it is smaller than the sum of its proper divisors (99783176220).

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

34286468580 is a wasteful number, since it uses less digits than its factorization.

34286468580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 34286468580 in words is "thirty-four billion, two hundred eighty-six million, four hundred sixty-eight thousand, five hundred eighty".