34255872 has 220 divisors, whose sum is σ = 118889760. Its totient is φ = 9621504.

The previous prime is 34255849. The next prime is 34255877. The reversal of 34255872 is 27855243.

34255872 is a `hidden beast` number, since 34 + 2 + 558 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34255877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 580579 + ... + 580637.

It is an arithmetic number, because the mean of its divisors is an integer number (540408).

Almost surely, 2^34255872 is an apocalyptic number.

34255872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

34255872 is the 4779-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34255872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59444880).

34255872 is an abundant number, since it is smaller than the sum of its proper divisors (84633888).

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

34255872 is an equidigital number, since it uses as much as digits as its factorization.

34255872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 71 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 34255872 is about 5852.8516126757. The cubic root of 34255872 is about 324.7718224805.

The spelling of 34255872 in words is "thirty-four million, two hundred fifty-five thousand, eight hundred seventy-two".