34124934648 has 128 divisors (see below), whose sum is σ = 103785408000. Its totient is φ = 9132963840.

The previous prime is 34124934637. The next prime is 34124934677. The reversal of 34124934648 is 84643942143.

It is a super-2 number, since 2×34124934648² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34124934597 and 34124934606.

It is a congruent number.

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, 224028 + ... + 344148.

It is an arithmetic number, because the mean of its divisors is an integer number (810823500).

Almost surely, 2^34124934648 is an apocalyptic number.

34124934648 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 34124934648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51892704000).

34124934648 is an abundant number, since it is smaller than the sum of its proper divisors (69660473352).

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

34124934648 is a wasteful number, since it uses less digits than its factorization.

34124934648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120245 (or 120241 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 48.

The spelling of 34124934648 in words is "thirty-four billion, one hundred twenty-four million, nine hundred thirty-four thousand, six hundred forty-eight".