34226636560 has 80 divisors (see below), whose sum is σ = 80432352000. Its totient is φ = 13543884288.

The previous prime is 34226636527. The next prime is 34226636593. The reversal of 34226636560 is 6563662243.

It is an interprime number because it is at equal distance from previous prime (34226636527) and next prime (34226636593).

It is a tau number, because it is divible by the number of its divisors (80).

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, 6336741 + ... + 6342139.

It is an arithmetic number, because the mean of its divisors is an integer number (1005404400).

Almost surely, 2^34226636560 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 34226636560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40216176000).

34226636560 is an abundant number, since it is smaller than the sum of its proper divisors (46205715440).

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

34226636560 is a wasteful number, since it uses less digits than its factorization.

34226636560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6248 (or 6242 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 43.

The spelling of 34226636560 in words is "thirty-four billion, two hundred twenty-six million, six hundred thirty-six thousand, five hundred sixty".