34675022880 has 144 divisors (see below), whose sum is σ = 119754573120. Its totient is φ = 9135235584.

The previous prime is 34675022869. The next prime is 34675022881. The reversal of 34675022880 is 8822057643.

34675022880 is a `hidden beast` number, since 3 + 4 + 67 + 502 + 2 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (34675022881) 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, 25540 + ... + 264579.

It is an arithmetic number, because the mean of its divisors is an integer number (831628980).

Almost surely, 2^34675022880 is an apocalyptic number.

34675022880 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 34675022880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59877286560).

34675022880 is an abundant number, since it is smaller than the sum of its proper divisors (85079550240).

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

34675022880 is a wasteful number, since it uses less digits than its factorization.

34675022880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290223 (or 290212 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 34675022880 in words is "thirty-four billion, six hundred seventy-five million, twenty-two thousand, eight hundred eighty".