3165648480 has 144 divisors (see below), whose sum is σ = 11203015824. Its totient is φ = 844162560.

The previous prime is 3165648461. The next prime is 3165648491. The reversal of 3165648480 is 848465613.

3165648480 is a `hidden beast` number, since 3 + 1 + 6 + 564 + 8 + 4 + 80 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 1831 + ... + 79590.

It is an arithmetic number, because the mean of its divisors is an integer number (77798721).

Almost surely, 2^3165648480 is an apocalyptic number.

3165648480 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 3165648480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5601507912).

3165648480 is an abundant number, since it is smaller than the sum of its proper divisors (8037367344).

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

3165648480 is an equidigital number, since it uses as much as digits as its factorization.

3165648480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81451 (or 81431 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 3165648480 is about 56264.0958338442. The cubic root of 3165648480 is about 1468.3206144130.

The spelling of 3165648480 in words is "three billion, one hundred sixty-five million, six hundred forty-eight thousand, four hundred eighty".