3164848960 has 224 divisors, whose sum is σ = 9333902592. Its totient is φ = 995328000.

The previous prime is 3164848957. The next prime is 3164848961. The reversal of 3164848960 is 698484613.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×3164848960² = 20032537879226163200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3164848961) 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, 7308904 + ... + 7309336.

It is an arithmetic number, because the mean of its divisors is an integer number (41669208).

Almost surely, 2^3164848960 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 3164848960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4666951296).

3164848960 is an abundant number, since it is smaller than the sum of its proper divisors (6169053632).

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

3164848960 is a wasteful number, since it uses less digits than its factorization.

3164848960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 49.

The square root of 3164848960 is about 56256.9903212036. The cubic root of 3164848960 is about 1468.1969903961.

It can be divided in two parts, 31648 and 48960, that added together give a palindrome (80608).

The spelling of 3164848960 in words is "three billion, one hundred sixty-four million, eight hundred forty-eight thousand, nine hundred sixty".