34800768146056 has 64 divisors (see below), whose sum is σ = 72725562650880. Its totient is φ = 15476081671680.

The previous prime is 34800768146029. The next prime is 34800768146083. The reversal of 34800768146056 is 65064186700843.

It is an interprime number because it is at equal distance from previous prime (34800768146029) and next prime (34800768146083).

It is a super-2 number, since 2×34800768146056² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9292270 + ... + 12487906.

It is an arithmetic number, because the mean of its divisors is an integer number (1136336916420).

Almost surely, 2^{34800768146056} 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 34800768146056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36362781325440).

34800768146056 is an abundant number, since it is smaller than the sum of its proper divisors (37924794504824).

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

34800768146056 is a wasteful number, since it uses less digits than its factorization.

34800768146056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3198334 (or 3198330 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 58.

The spelling of 34800768146056 in words is "thirty-four trillion, eight hundred billion, seven hundred sixty-eight million, one hundred forty-six thousand, fifty-six".