34585322128 has 160 divisors (see below), whose sum is σ = 82134743040. Its totient is φ = 13779072000.

The previous prime is 34585322119. The next prime is 34585322137. The reversal of 34585322128 is 82122358543.

It is an interprime number because it is at equal distance from previous prime (34585322119) and next prime (34585322137).

It is a super-2 number, since 2×34585322128² (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, 38990901 + ... + 38991787.

It is an arithmetic number, because the mean of its divisors is an integer number (513342144).

Almost surely, 2^34585322128 is an apocalyptic number.

34585322128 is a gapful number since it is divisible by the number (38) 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 34585322128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41067371520).

34585322128 is an abundant number, since it is smaller than the sum of its proper divisors (47549420912).

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

34585322128 is a wasteful number, since it uses less digits than its factorization.

34585322128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1239 counting only the distinct ones).

The product of its digits is 460800, while the sum is 43.

The spelling of 34585322128 in words is "thirty-four billion, five hundred eighty-five million, three hundred twenty-two thousand, one hundred twenty-eight".