34985216 has 54 divisors (see below), whose sum is σ = 81264330. Its totient is φ = 14988288.

The previous prime is 34985149. The next prime is 34985219. The reversal of 34985216 is 61258943.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 31360000 + 3625216 = 5600^2 + 1904^2 .

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 34985216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34985219) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11150 + ... + 13938.

It is an arithmetic number, because the mean of its divisors is an integer number (1504895).

Almost surely, 2^34985216 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 34985216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40632165).

34985216 is an abundant number, since it is smaller than the sum of its proper divisors (46279114).

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

34985216 is an equidigital number, since it uses as much as digits as its factorization.

34985216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2819 (or 2798 counting only the distinct ones).

The product of its digits is 51840, while the sum is 38.

The square root of 34985216 is about 5914.8301750769. The cubic root of 34985216 is about 327.0605679189.

The spelling of 34985216 in words is "thirty-four million, nine hundred eighty-five thousand, two hundred sixteen".