3428856445056 has 384 divisors, whose sum is σ = 10835048540160. Its totient is φ = 957525166080.

The previous prime is 3428856444971. The next prime is 3428856445061. The reversal of 3428856445056 is 6505446588243.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 780880621 + ... + 780885011.

It is an arithmetic number, because the mean of its divisors is an integer number (28216272240).

Almost surely, 2^{3428856445056} 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 3428856445056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5417524270080).

3428856445056 is an abundant number, since it is smaller than the sum of its proper divisors (7406192095104).

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

3428856445056 is a wasteful number, since it uses less digits than its factorization.

3428856445056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5352 (or 5333 counting only the distinct ones).

The product of its (nonzero) digits is 110592000, while the sum is 60.

The spelling of 3428856445056 in words is "three trillion, four hundred twenty-eight billion, eight hundred fifty-six million, four hundred forty-five thousand, fifty-six".