3169848960 has 384 divisors, whose sum is σ = 11617032960. Its totient is φ = 794787840.

The previous prime is 3169848959. The next prime is 3169848961. The reversal of 3169848960 is 698489613.

3169848960 is a `hidden beast` number, since 3 + 16 + 98 + 489 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (3169848959) and next prime (3169848961).

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 3169848897 and 3169848906.

It is not an unprimeable number, because it can be changed into a prime (3169848961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9405912 + ... + 9406248.

It is an arithmetic number, because the mean of its divisors is an integer number (30252690).

Almost surely, 2^3169848960 is an apocalyptic number.

3169848960 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 3169848960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5808516480).

3169848960 is an abundant number, since it is smaller than the sum of its proper divisors (8447184000).

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

3169848960 is a wasteful number, since it uses less digits than its factorization.

3169848960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 3169848960 is about 56301.4117052139. The cubic root of 3169848960 is about 1468.9697626557.

The spelling of 3169848960 in words is "three billion, one hundred sixty-nine million, eight hundred forty-eight thousand, nine hundred sixty".