3165134784480 has 480 divisors, whose sum is σ = 11558626345728. Its totient is φ = 814825267200.

The previous prime is 3165134784451. The next prime is 3165134784551. The reversal of 3165134784480 is 844874315613.

3165134784480 is a `hidden beast` number, since 3 + 1 + 6 + 51 + 3 + 478 + 44 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 169131604 + ... + 169150316.

Almost surely, 2^{3165134784480} is an apocalyptic number.

3165134784480 is a gapful number since it is divisible by the number (30) 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 3165134784480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5779313172864).

3165134784480 is an abundant number, since it is smaller than the sum of its proper divisors (8393491561248).

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

3165134784480 is a wasteful number, since it uses less digits than its factorization.

3165134784480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19192 (or 19175 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 3165134784480 in words is "three trillion, one hundred sixty-five billion, one hundred thirty-four million, seven hundred eighty-four thousand, four hundred eighty".