34256628 has 96 divisors (see below), whose sum is σ = 102654720. Its totient is φ = 9676800.

The previous prime is 34256623. The next prime is 34256633. The reversal of 34256628 is 82665243.

34256628 is a `hidden beast` number, since 3 + 4 + 25 + 6 + 628 = 666.

34256628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (34256623) and next prime (34256633).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34256592 and 34256601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34256623) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 85228 + ... + 85628.

It is an arithmetic number, because the mean of its divisors is an integer number (1069320).

Almost surely, 2^34256628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34256628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51327360).

34256628 is an abundant number, since it is smaller than the sum of its proper divisors (68398092).

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

34256628 is a wasteful number, since it uses less digits than its factorization.

34256628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 526 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 34256628 is about 5852.9161962222. The cubic root of 34256628 is about 324.7742116154.

The spelling of 34256628 in words is "thirty-four million, two hundred fifty-six thousand, six hundred twenty-eight".