34166678784 has 144 divisors (see below), whose sum is σ = 104934316032. Its totient is φ = 9666975744.

The previous prime is 34166678783. The next prime is 34166678803. The reversal of 34166678784 is 48787666143.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34166678783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 522877 + ... + 584579.

It is an arithmetic number, because the mean of its divisors is an integer number (728710528).

Almost surely, 2^34166678784 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 34166678784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52467158016).

34166678784 is an abundant number, since it is smaller than the sum of its proper divisors (70767637248).

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

34166678784 is a wasteful number, since it uses less digits than its factorization.

34166678784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61832 (or 61818 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 60.

The spelling of 34166678784 in words is "thirty-four billion, one hundred sixty-six million, six hundred seventy-eight thousand, seven hundred eighty-four".