3179485729728 has 1344 divisors, whose sum is σ = 11903556787200. Its totient is φ = 810882293760.

The previous prime is 3179485729699. The next prime is 3179485729813. The reversal of 3179485729728 is 8279275849713.

It is a happy number.

3179485729728 is a `hidden beast` number, since 3 + 1 + 7 + 9 + 48 + 572 + 9 + 7 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (426746880) is a multiple of the sum of its prime divisors (243).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28137041800 + ... + 28137041912.

Almost surely, 2^{3179485729728} 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 3179485729728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5951778393600).

3179485729728 is an abundant number, since it is smaller than the sum of its proper divisors (8724071057472).

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

3179485729728 is a wasteful number, since it uses less digits than its factorization.

3179485729728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 243 counting only the distinct ones).

The product of its digits is 426746880, while the sum is 72.

The spelling of 3179485729728 in words is "three trillion, one hundred seventy-nine billion, four hundred eighty-five million, seven hundred twenty-nine thousand, seven hundred twenty-eight".