34126330560 has 224 divisors, whose sum is σ = 124090176000. Its totient is φ = 7783907328.

The previous prime is 34126330541. The next prime is 34126330633. The reversal of 34126330560 is 6503362143.

It is a tau number, because it is divible by the number of its divisors (224).

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, 3348192 + ... + 3358368.

It is an arithmetic number, because the mean of its divisors is an integer number (553974000).

Almost surely, 2^34126330560 is an apocalyptic number.

34126330560 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 34126330560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62045088000).

34126330560 is an abundant number, since it is smaller than the sum of its proper divisors (89963845440).

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

34126330560 is a wasteful number, since it uses less digits than its factorization.

34126330560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10703 (or 10693 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 33.

The spelling of 34126330560 in words is "thirty-four billion, one hundred twenty-six million, three hundred thirty thousand, five hundred sixty".