34114678776 has 96 divisors (see below), whose sum is σ = 94908340800. Its totient is φ = 11063623680.

The previous prime is 34114678751. The next prime is 34114678781. The reversal of 34114678776 is 67787641143.

It is a happy number.

34114678776 is a `hidden beast` number, since 34 + 1 + 1 + 467 + 87 + 76 = 666.

It is a super-2 number, since 2×34114678776² (a number of 22 digits) contains 22 as substring.

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, 1067640 + ... + 1099128.

It is an arithmetic number, because the mean of its divisors is an integer number (988628550).

Almost surely, 2^34114678776 is an apocalyptic number.

34114678776 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 34114678776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47454170400).

34114678776 is an abundant number, since it is smaller than the sum of its proper divisors (60793662024).

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

34114678776 is a wasteful number, since it uses less digits than its factorization.

34114678776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31909 (or 31902 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 54.

It can be divided in two parts, 3411467 and 8776, that added together give a palindrome (3420243).

The spelling of 34114678776 in words is "thirty-four billion, one hundred fourteen million, six hundred seventy-eight thousand, seven hundred seventy-six".