34046676774 has 72 divisors (see below), whose sum is σ = 81125924880. Its totient is φ = 10311792480.

The previous prime is 34046676767. The next prime is 34046676799. The reversal of 34046676774 is 47767664043.

34046676774 is a `hidden beast` number, since 3 + 40 + 466 + 76 + 7 + 74 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 34046676774.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6703524 + ... + 6708600.

Almost surely, 2^34046676774 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34046676774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40562962440).

34046676774 is an abundant number, since it is smaller than the sum of its proper divisors (47079248106).

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

34046676774 is a wasteful number, since it uses less digits than its factorization.

34046676774 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8186 (or 8172 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 54.

The spelling of 34046676774 in words is "thirty-four billion, forty-six million, six hundred seventy-six thousand, seven hundred seventy-four".