3479507712 has 288 divisors, whose sum is σ = 11008166400. Its totient is φ = 1081479168.

The previous prime is 3479507693. The next prime is 3479507719. The reversal of 3479507712 is 2177059743.

3479507712 is a `hidden beast` number, since 3 + 4 + 79 + 507 + 71 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (3479507719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6835714 + ... + 6836222.

It is an arithmetic number, because the mean of its divisors is an integer number (38222800).

Almost surely, 2^3479507712 is an apocalyptic number.

3479507712 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 3479507712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5504083200).

3479507712 is an abundant number, since it is smaller than the sum of its proper divisors (7528658688).

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

3479507712 is a wasteful number, since it uses less digits than its factorization.

3479507712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 3479507712 is about 58987.3521358604. The cubic root of 3479507712 is about 1515.3255099017.

It can be divided in two parts, 347 and 9507712, that added together give a palindrome (9508059).

The spelling of 3479507712 in words is "three billion, four hundred seventy-nine million, five hundred seven thousand, seven hundred twelve".