34681856 has 44 divisors (see below), whose sum is σ = 75657120. Its totient is φ = 15759360.

The previous prime is 34681841. The next prime is 34681877. The reversal of 34681856 is 65818643.

It is a tau number, because it is divible by the number of its divisors (44).

It is a super-2 number, since 2×34681856² = 2405662271209472, which contains 22 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9725 + ... + 12803.

It is an arithmetic number, because the mean of its divisors is an integer number (1719480).

Almost surely, 2^34681856 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 34681856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37828560).

34681856 is an abundant number, since it is smaller than the sum of its proper divisors (40975264).

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

34681856 is a wasteful number, since it uses less digits than its factorization.

34681856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3110 (or 3092 counting only the distinct ones).

The product of its digits is 138240, while the sum is 41.

The square root of 34681856 is about 5889.1303262876. The cubic root of 34681856 is about 326.1124983412.

The spelling of 34681856 in words is "thirty-four million, six hundred eighty-one thousand, eight hundred fifty-six".