34349856 has 96 divisors (see below), whose sum is σ = 96380928. Its totient is φ = 10686720.

The previous prime is 34349839. The next prime is 34349857. The reversal of 34349856 is 65894343.

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34349857) 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 15 ways as a sum of consecutive naturals, for example, 103611 + ... + 103941.

It is an arithmetic number, because the mean of its divisors is an integer number (1003968).

Almost surely, 2^34349856 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 34349856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48190464).

34349856 is an abundant number, since it is smaller than the sum of its proper divisors (62031072).

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

34349856 is a wasteful number, since it uses less digits than its factorization.

34349856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 406 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 34349856 is about 5860.8750199949. The cubic root of 34349856 is about 325.0685646267.

The spelling of 34349856 in words is "thirty-four million, three hundred forty-nine thousand, eight hundred fifty-six".