34813116 has 72 divisors (see below), whose sum is σ = 96161520. Its totient is φ = 10554624.

The previous prime is 34813109. The next prime is 34813123. The reversal of 34813116 is 61131843.

34813116 is a `hidden beast` number, since 348 + 1 + 311 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (34813109) and next prime (34813123).

It is a self number, because there is not a number n which added to its sum of digits gives 34813116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33655 + ... + 34673.

Almost surely, 2^34813116 is an apocalyptic number.

34813116 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 34813116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48080760).

34813116 is an abundant number, since it is smaller than the sum of its proper divisors (61348404).

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

34813116 is a wasteful number, since it uses less digits than its factorization.

34813116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1110 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 34813116 is about 5900.2640618874. The cubic root of 34813116 is about 326.5233917484.

Adding to 34813116 its reverse (61131843), we get a palindrome (95944959).

The spelling of 34813116 in words is "thirty-four million, eight hundred thirteen thousand, one hundred sixteen".