34286868720 has 360 divisors, whose sum is σ = 127604649744. Its totient is φ = 8242311168.

The previous prime is 34286868701. The next prime is 34286868793. The reversal of 34286868720 is 2786868243.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 5228964 + ... + 5235516.

Almost surely, 2^34286868720 is an apocalyptic number.

34286868720 is a gapful number since it is divisible by the number (30) 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 34286868720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63802324872).

34286868720 is an abundant number, since it is smaller than the sum of its proper divisors (93317781024).

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

34286868720 is a wasteful number, since it uses less digits than its factorization.

34286868720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6641 (or 6619 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 34286868720 in words is "thirty-four billion, two hundred eighty-six million, eight hundred sixty-eight thousand, seven hundred twenty".