3001340160 has 648 divisors, whose sum is σ = 13040740440. Its totient is φ = 631701504.

The previous prime is 3001340143. The next prime is 3001340197. The reversal of 3001340160 is 610431003.

It can be written as a sum of positive squares in 4 ways, for example, as 392990976 + 2608349184 = 19824^2 + 51072^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7338036 + ... + 7338444.

Almost surely, 2^3001340160 is an apocalyptic number.

3001340160 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 3001340160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6520370220).

3001340160 is an abundant number, since it is smaller than the sum of its proper divisors (10039400280).

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

3001340160 is a wasteful number, since it uses less digits than its factorization.

3001340160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3001340160 is about 54784.4883155807. The cubic root of 3001340160 is about 1442.4642989121.

Adding to 3001340160 its reverse (610431003), we get a palindrome (3611771163).

The spelling of 3001340160 in words is "three billion, one million, three hundred forty thousand, one hundred sixty".