3120068160 has 560 divisors, whose sum is σ = 12533571072. Its totient is φ = 729907200.

The previous prime is 3120068137. The next prime is 3120068173. The reversal of 3120068160 is 618600213.

3120068160 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8838544 + ... + 8838896.

Almost surely, 2^3120068160 is an apocalyptic number.

3120068160 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 3120068160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6266785536).

3120068160 is an abundant number, since it is smaller than the sum of its proper divisors (9413502912).

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

3120068160 is a wasteful number, since it uses less digits than its factorization.

3120068160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3120068160 is about 55857.5703016162. The cubic root of 3120068160 is about 1461.2393554775.

Adding to 3120068160 its reverse (618600213), we get a palindrome (3738668373).

The spelling of 3120068160 in words is "three billion, one hundred twenty million, sixty-eight thousand, one hundred sixty".