3360768160 has 192 divisors, whose sum is σ = 8428523040. Its totient is φ = 1265172480.

The previous prime is 3360768137. The next prime is 3360768163. The reversal of 3360768160 is 618670633.

It can be written as a sum of positive squares in 16 ways, for example, as 15376 + 3360752784 = 124^2 + 57972^2 .

It is a super-2 number, since 2×3360768160² = 22589525250539571200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (3360768163) 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, 37761396 + ... + 37761484.

Almost surely, 2^3360768160 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 3360768160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4214261520).

3360768160 is an abundant number, since it is smaller than the sum of its proper divisors (5067754880).

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

3360768160 is a wasteful number, since it uses less digits than its factorization.

3360768160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 3360768160 is about 57972.1326155938. The cubic root of 3360768160 is about 1497.8886086715. Note that the first 3 decimals are identical.

The spelling of 3360768160 in words is "three billion, three hundred sixty million, seven hundred sixty-eight thousand, one hundred sixty".