34986016 has 48 divisors (see below), whose sum is σ = 76215384. Its totient is φ = 15704064.

The previous prime is 34985987. The next prime is 34986023. The reversal of 34986016 is 61068943.

It can be written as a sum of positive squares in 4 ways, for example, as 34339600 + 646416 = 5860^2 + 804^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

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, 14256 + ... + 16528.

Almost surely, 2^34986016 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 34986016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38107692).

34986016 is an abundant number, since it is smaller than the sum of its proper divisors (41229368).

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

34986016 is a wasteful number, since it uses less digits than its factorization.

34986016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2333 (or 2325 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 34986016 is about 5914.8978013149. The cubic root of 34986016 is about 327.0630608430.

The spelling of 34986016 in words is "thirty-four million, nine hundred eighty-six thousand, sixteen".