3471912864 has 144 divisors (see below), whose sum is σ = 11877727680. Its totient is φ = 939755520.

The previous prime is 3471912863. The next prime is 3471912869. The reversal of 3471912864 is 4682191743.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3471912863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7017 + ... + 83624.

It is an arithmetic number, because the mean of its divisors is an integer number (82484220).

Almost surely, 2^3471912864 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 3471912864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5938863840).

3471912864 is an abundant number, since it is smaller than the sum of its proper divisors (8405814816).

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

3471912864 is a wasteful number, since it uses less digits than its factorization.

3471912864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90683 (or 90672 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 3471912864 is about 58922.9400488468. The cubic root of 3471912864 is about 1514.2221880621. Note that the first 3 decimals are identical.

The spelling of 3471912864 in words is "three billion, four hundred seventy-one million, nine hundred twelve thousand, eight hundred sixty-four".