3312416160 has 96 divisors (see below), whose sum is σ = 11593471680. Its totient is φ = 883309824.

The previous prime is 3312416147. The next prime is 3312416171. The reversal of 3312416160 is 616142133.

3312416160 is a `hidden beast` number, since 3 + 3 + 1 + 2 + 41 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 379062 + ... + 387701.

It is an arithmetic number, because the mean of its divisors is an integer number (120765330).

Almost surely, 2^3312416160 is an apocalyptic number.

3312416160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3312416160 is an abundant number, since it is smaller than the sum of its proper divisors (8281055520).

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

3312416160 is a wasteful number, since it uses less digits than its factorization.

3312416160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766787 (or 766773 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3312416160 is about 57553.5938061213. The cubic root of 3312416160 is about 1490.6704128406.

Adding to 3312416160 its reverse (616142133), we get a palindrome (3928558293).

It can be divided in two parts, 33124 and 16160, that added together give a square (49284 = 222²).

The spelling of 3312416160 in words is "three billion, three hundred twelve million, four hundred sixteen thousand, one hundred sixty".