3484105864832 has 64 divisors (see below), whose sum is σ = 7003724866560. Its totient is φ = 1726314024960.

The previous prime is 3484105864831. The next prime is 3484105864861. The reversal of 3484105864832 is 2384685014843.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (3484105864831) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 89816513 + ... + 89855295.

It is an arithmetic number, because the mean of its divisors is an integer number (109433201040).

Almost surely, 2^{3484105864832} is an apocalyptic number.

3484105864832 is a gapful number since it is divisible by the number (32) 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 3484105864832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3501862433280).

3484105864832 is an abundant number, since it is smaller than the sum of its proper divisors (3519619001728).

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

3484105864832 is a wasteful number, since it uses less digits than its factorization.

3484105864832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45121 (or 45109 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 56.

The spelling of 3484105864832 in words is "three trillion, four hundred eighty-four billion, one hundred five million, eight hundred sixty-four thousand, eight hundred thirty-two".