34681742872 has 128 divisors (see below), whose sum is σ = 84447360000. Its totient is φ = 13004361216.

The previous prime is 34681742819. The next prime is 34681742933. The reversal of 34681742872 is 27824718643.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 685254 + ... + 734122.

It is an arithmetic number, because the mean of its divisors is an integer number (659745000).

Almost surely, 2^34681742872 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 34681742872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42223680000).

34681742872 is an abundant number, since it is smaller than the sum of its proper divisors (49765617128).

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

34681742872 is a wasteful number, since it uses less digits than its factorization.

34681742872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48953 (or 48949 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 52.

The spelling of 34681742872 in words is "thirty-four billion, six hundred eighty-one million, seven hundred forty-two thousand, eight hundred seventy-two".