34856000 has 56 divisors (see below), whose sum is σ = 86340696. Its totient is φ = 13939200.

The previous prime is 34855981. The next prime is 34856011. The reversal of 34856000 is 65843.

It can be written as a sum of positive squares in 4 ways, for example, as 937024 + 33918976 = 968^2 + 5824^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5822 + ... + 10178.

Almost surely, 2^34856000 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 34856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43170348).

34856000 is an abundant number, since it is smaller than the sum of its proper divisors (51484696).

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

34856000 is an equidigital number, since it uses as much as digits as its factorization.

34856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4384 (or 4364 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 34856000 is about 5903.8970180720. The cubic root of 34856000 is about 326.6574110016.

The spelling of 34856000 in words is "thirty-four million, eight hundred fifty-six thousand".