34131816 has 48 divisors (see below), whose sum is σ = 96464160. Its totient is φ = 10882080.

The previous prime is 34131787. The next prime is 34131827. The reversal of 34131816 is 61813143.

34131816 is a `hidden beast` number, since 341 + 318 + 1 + 6 = 666.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 34131816.

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 11 ways as a sum of consecutive naturals, for example, 8650 + ... + 11961.

It is an arithmetic number, because the mean of its divisors is an integer number (2009670).

Almost surely, 2^34131816 is an apocalyptic number.

34131816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34131816 is an abundant number, since it is smaller than the sum of its proper divisors (62332344).

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

34131816 is a wasteful number, since it uses less digits than its factorization.

34131816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20646 (or 20639 counting only the distinct ones).

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

The square root of 34131816 is about 5842.2440893889. The cubic root of 34131816 is about 324.3792997303.

Adding to 34131816 its reverse (61813143), we get a palindrome (95944959).

The spelling of 34131816 in words is "thirty-four million, one hundred thirty-one thousand, eight hundred sixteen".