34966016 has 40 divisors (see below), whose sum is σ = 72150144. Its totient is φ = 16911360.

The previous prime is 34965977. The next prime is 34966031. The reversal of 34966016 is 61066943.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14771 + ... + 16973.

Almost surely, 2^34966016 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 34966016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36075072).

34966016 is an abundant number, since it is smaller than the sum of its proper divisors (37184128).

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

34966016 is an equidigital number, since it uses as much as digits as its factorization.

34966016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252 (or 2236 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 34966016 is about 5913.2069133424. The cubic root of 34966016 is about 327.0007263370. Note that the first 3 decimals are identical.

The spelling of 34966016 in words is "thirty-four million, nine hundred sixty-six thousand, sixteen".