34013856 has 48 divisors (see below), whose sum is σ = 89964000. Its totient is φ = 11251968.

The previous prime is 34013843. The next prime is 34013873. The reversal of 34013856 is 65831043.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 12070 + ... + 14618.

It is an arithmetic number, because the mean of its divisors is an integer number (1874250).

Almost surely, 2^34013856 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 34013856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44982000).

34013856 is an abundant number, since it is smaller than the sum of its proper divisors (55950144).

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

34013856 is a wasteful number, since it uses less digits than its factorization.

34013856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2701 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 34013856 is about 5832.1399160171. The cubic root of 34013856 is about 324.0051820540.

Adding to 34013856 its reverse (65831043), we get a palindrome (99844899).

It can be divided in two parts, 340 and 13856, that added together give a triangular number (14196 = T₁₆₈).

The spelling of 34013856 in words is "thirty-four million, thirteen thousand, eight hundred fifty-six".