34285518960000 has 1280 divisors, whose sum is σ = 142611549696000. Its totient is φ = 7087703040000.

The previous prime is 34285518959971. The next prime is 34285518960041. The reversal of 34285518960000 is 6981558243.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3677515339 + ... + 3677524661.

It is an arithmetic number, because the mean of its divisors is an integer number (111415273200).

Almost surely, 2^{34285518960000} is an apocalyptic number.

34285518960000 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 34285518960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71305774848000).

34285518960000 is an abundant number, since it is smaller than the sum of its proper divisors (108326030736000).

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

34285518960000 is a wasteful number, since it uses less digits than its factorization.

34285518960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9577 (or 9550 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The spelling of 34285518960000 in words is "thirty-four trillion, two hundred eighty-five billion, five hundred eighteen million, nine hundred sixty thousand".