34388256 has 96 divisors (see below), whose sum is σ = 104727168. Its totient is φ = 9676800.

The previous prime is 34388173. The next prime is 34388257. The reversal of 34388256 is 65288343.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (34388257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48706 + ... + 49406.

It is an arithmetic number, because the mean of its divisors is an integer number (1090908).

Almost surely, 2^34388256 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 34388256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52363584).

34388256 is an abundant number, since it is smaller than the sum of its proper divisors (70338912).

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

34388256 is a wasteful number, since it uses less digits than its factorization.

34388256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 786 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 34388256 is about 5864.1500662926. The cubic root of 34388256 is about 325.1896518329.

The spelling of 34388256 in words is "thirty-four million, three hundred eighty-eight thousand, two hundred fifty-six".