34531056 has 160 divisors (see below), whose sum is σ = 119436800. Its totient is φ = 9331200.

The previous prime is 34531043. The next prime is 34531067. The reversal of 34531056 is 65013543.

34531056 is a `hidden beast` number, since 345 + 310 + 5 + 6 = 666.

34531056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 57156 + ... + 57756.

It is an arithmetic number, because the mean of its divisors is an integer number (746480).

Almost surely, 2^34531056 is an apocalyptic number.

34531056 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 34531056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59718400).

34531056 is an abundant number, since it is smaller than the sum of its proper divisors (84905744).

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

34531056 is a wasteful number, since it uses less digits than its factorization.

34531056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 34531056 is about 5876.3131298460. The cubic root of 34531056 is about 325.6391556040.

Adding to 34531056 its reverse (65013543), we get a palindrome (99544599).

The spelling of 34531056 in words is "thirty-four million, five hundred thirty-one thousand, fifty-six".