3479306310144 has 320 divisors, whose sum is σ = 12149969018880. Its totient is φ = 962019348480.

The previous prime is 3479306310119. The next prime is 3479306310149. The reversal of 3479306310144 is 4410136039743.

3479306310144 is a `hidden beast` number, since 3 + 4 + 7 + 9 + 3 + 0 + 631 + 0 + 1 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3479306310144.

It is not an unprimeable number, because it can be changed into a prime (3479306310149) 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, 2419887 + ... + 3579729.

It is an arithmetic number, because the mean of its divisors is an integer number (37968653184).

Almost surely, 2^{3479306310144} 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 3479306310144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6074984509440).

3479306310144 is an abundant number, since it is smaller than the sum of its proper divisors (8670662708736).

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

3479306310144 is a wasteful number, since it uses less digits than its factorization.

3479306310144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159908 (or 1159886 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 3479306310144 in words is "three trillion, four hundred seventy-nine billion, three hundred six million, three hundred ten thousand, one hundred forty-four".