34922838456 has 192 divisors, whose sum is σ = 106706995200. Its totient is φ = 10222329600.

The previous prime is 34922838449. The next prime is 34922838469. The reversal of 34922838456 is 65483822943.

34922838456 is a `hidden beast` number, since 3 + 492 + 28 + 3 + 84 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18584925 + ... + 18586803.

It is an arithmetic number, because the mean of its divisors is an integer number (555765600).

Almost surely, 2^34922838456 is an apocalyptic number.

34922838456 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 34922838456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53353497600).

34922838456 is an abundant number, since it is smaller than the sum of its proper divisors (71784156744).

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

34922838456 is a wasteful number, since it uses less digits than its factorization.

34922838456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2690 (or 2683 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

It can be divided in two parts, 34922 and 838456, that added together give a palindrome (873378).

The spelling of 34922838456 in words is "thirty-four billion, nine hundred twenty-two million, eight hundred thirty-eight thousand, four hundred fifty-six".