34022627856 has 480 divisors, whose sum is σ = 123746544000. Its totient is φ = 8888527872.

The previous prime is 34022627839. The next prime is 34022627869. The reversal of 34022627856 is 65872622043.

34022627856 is a `hidden beast` number, since 340 + 226 + 2 + 7 + 85 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11662110 + ... + 11665026.

It is an arithmetic number, because the mean of its divisors is an integer number (257805300).

Almost surely, 2^34022627856 is an apocalyptic number.

34022627856 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 34022627856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61873272000).

34022627856 is an abundant number, since it is smaller than the sum of its proper divisors (89723916144).

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

34022627856 is a wasteful number, since it uses less digits than its factorization.

34022627856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2996 (or 2977 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 34022627856 in words is "thirty-four billion, twenty-two million, six hundred twenty-seven thousand, eight hundred fifty-six".