34953856 has 48 divisors (see below), whose sum is σ = 81018090. Its totient is φ = 14977536.

The previous prime is 34953839. The next prime is 34953869. The reversal of 34953856 is 65835943.

It can be written as a sum of positive squares in only one way, i.e., 34574400 + 379456 = 5880^2 + 616^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3486 + ... + 9058.

Almost surely, 2^34953856 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 34953856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40509045).

34953856 is an abundant number, since it is smaller than the sum of its proper divisors (46064234).

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

34953856 is an equidigital number, since it uses as much as digits as its factorization.

34953856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5601 (or 5582 counting only the distinct ones).

The product of its digits is 388800, while the sum is 43.

The square root of 34953856 is about 5912.1786170582. The cubic root of 34953856 is about 326.9628153374.

The spelling of 34953856 in words is "thirty-four million, nine hundred fifty-three thousand, eight hundred fifty-six".