34813856 has 96 divisors (see below), whose sum is σ = 87091200. Its totient is φ = 13305600.

The previous prime is 34813847. The next prime is 34813861. The reversal of 34813856 is 65831843.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174845 + ... + 175043.

It is an arithmetic number, because the mean of its divisors is an integer number (907200).

Almost surely, 2^34813856 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 34813856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43545600).

34813856 is an abundant number, since it is smaller than the sum of its proper divisors (52277344).

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

34813856 is a wasteful number, since it uses less digits than its factorization.

34813856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 290 counting only the distinct ones).

The product of its digits is 69120, while the sum is 38.

The square root of 34813856 is about 5900.3267706119. The cubic root of 34813856 is about 326.5257052979.

It can be divided in two parts, 3481 and 3856, that added together give a palindrome (7337).

The spelling of 34813856 in words is "thirty-four million, eight hundred thirteen thousand, eight hundred fifty-six".