34616016 has 120 divisors (see below), whose sum is σ = 101991240. Its totient is φ = 10948608.

The previous prime is 34616011. The next prime is 34616041. The reversal of 34616016 is 61061643.

34616016 is a `hidden beast` number, since 34 + 616 + 0 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7617600 + 26998416 = 2760^2 + 5196^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34616011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 388900 + ... + 388988.

It is an arithmetic number, because the mean of its divisors is an integer number (849927).

Almost surely, 2^34616016 is an apocalyptic number.

34616016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34616016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50995620).

34616016 is an abundant number, since it is smaller than the sum of its proper divisors (67375224).

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

34616016 is a wasteful number, since it uses less digits than its factorization.

34616016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 34616016 is about 5883.5377112754. The cubic root of 34616016 is about 325.9060037384.

Adding to 34616016 its reverse (61061643), we get a palindrome (95677659).

The spelling of 34616016 in words is "thirty-four million, six hundred sixteen thousand, sixteen".