3484515686064 has 160 divisors (see below), whose sum is σ = 10351847201280. Its totient is φ = 989365487616.

The previous prime is 3484515686063. The next prime is 3484515686129. The reversal of 3484515686064 is 4606865154843.

3484515686064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3484515685989 and 3484515686007.

It is not an unprimeable number, because it can be changed into a prime (3484515686063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138157647 + ... + 138182865.

It is an arithmetic number, because the mean of its divisors is an integer number (64699045008).

Almost surely, 2^{3484515686064} 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 3484515686064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5175923600640).

3484515686064 is an abundant number, since it is smaller than the sum of its proper divisors (6867331515216).

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

3484515686064 is a wasteful number, since it uses less digits than its factorization.

3484515686064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27787 (or 27781 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 60.

The spelling of 3484515686064 in words is "three trillion, four hundred eighty-four billion, five hundred fifteen million, six hundred eighty-six thousand, sixty-four".