34307616 has 96 divisors (see below), whose sum is σ = 108380160. Its totient is φ = 9282816.

The previous prime is 34307569. The next prime is 34307629. The reversal of 34307616 is 61670343.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11425 + ... + 14111.

It is an arithmetic number, because the mean of its divisors is an integer number (1128960).

Almost surely, 2^34307616 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 34307616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54190080).

34307616 is an abundant number, since it is smaller than the sum of its proper divisors (74072544).

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

34307616 is a wasteful number, since it uses less digits than its factorization.

34307616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2726 (or 2718 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 34307616 is about 5857.2703540130. The cubic root of 34307616 is about 324.9352644240.

Adding to 34307616 its reverse (61670343), we get a palindrome (95977959).

It can be divided in two parts, 34307 and 616, that multiplied together give a palindrome (21133112).

The spelling of 34307616 in words is "thirty-four million, three hundred seven thousand, six hundred sixteen".