34348422984876 has 1152 divisors, whose sum is σ = 123433998944256. Its totient is φ = 7767559618560.

The previous prime is 34348422984809. The next prime is 34348422984923. The reversal of 34348422984876 is 67848922484343.

34348422984876 is a `hidden beast` number, since 3 + 4 + 3 + 4 + 8 + 422 + 98 + 48 + 76 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7854656626 + ... + 7854660998.

It is an arithmetic number, because the mean of its divisors is an integer number (107147568528).

Almost surely, 2^{34348422984876} is an apocalyptic number.

34348422984876 is a gapful number since it is divisible by the number (36) 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 34348422984876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61716999472128).

34348422984876 is an abundant number, since it is smaller than the sum of its proper divisors (89085575959380).

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

34348422984876 is a wasteful number, since it uses less digits than its factorization.

34348422984876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4631 (or 4626 counting only the distinct ones).

The product of its digits is 1783627776, while the sum is 72.

The spelling of 34348422984876 in words is "thirty-four trillion, three hundred forty-eight billion, four hundred twenty-two million, nine hundred eighty-four thousand, eight hundred seventy-six".