34221548768 has 96 divisors (see below), whose sum is σ = 75973137408. Its totient is φ = 15032908800.

The previous prime is 34221548759. The next prime is 34221548789. The reversal of 34221548768 is 86784512243.

It is a super-2 number, since 2×34221548768² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 10222871 + ... + 10226217.

It is an arithmetic number, because the mean of its divisors is an integer number (791386848).

Almost surely, 2^34221548768 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 34221548768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37986568704).

34221548768 is an abundant number, since it is smaller than the sum of its proper divisors (41751588640).

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

34221548768 is a wasteful number, since it uses less digits than its factorization.

34221548768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4336 (or 4328 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 50.

The spelling of 34221548768 in words is "thirty-four billion, two hundred twenty-one million, five hundred forty-eight thousand, seven hundred sixty-eight".