34507116 has 72 divisors (see below), whose sum is σ = 104948480. Its totient is φ = 9338976.

The previous prime is 34507091. The next prime is 34507141. The reversal of 34507116 is 61170543.

It is an interprime number because it is at equal distance from previous prime (34507091) and next prime (34507141).

It is a self number, because there is not a number n which added to its sum of digits gives 34507116.

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 23 ways as a sum of consecutive naturals, for example, 1185 + ... + 8391.

Almost surely, 2^34507116 is an apocalyptic number.

34507116 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 34507116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52474240).

34507116 is an abundant number, since it is smaller than the sum of its proper divisors (70441364).

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

34507116 is a wasteful number, since it uses less digits than its factorization.

34507116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7243 (or 7238 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 34507116 is about 5874.2757851500. The cubic root of 34507116 is about 325.5638841955.

Adding to 34507116 its reverse (61170543), we get a palindrome (95677659).

The spelling of 34507116 in words is "thirty-four million, five hundred seven thousand, one hundred sixteen".