34015318976 has 112 divisors (see below), whose sum is σ = 71779668480. Its totient is φ = 15959454720.

The previous prime is 34015318973. The next prime is 34015319003. The reversal of 34015318976 is 67981351043.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 34015318976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34015318973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30671510 + ... + 30672618.

Almost surely, 2^34015318976 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 34015318976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35889834240).

34015318976 is an abundant number, since it is smaller than the sum of its proper divisors (37764349504).

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

34015318976 is a wasteful number, since it uses less digits than its factorization.

34015318976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 47.

The spelling of 34015318976 in words is "thirty-four billion, fifteen million, three hundred eighteen thousand, nine hundred seventy-six".