3000001320 has 384 divisors, whose sum is σ = 10750320000. Its totient is φ = 743795712.

The previous prime is 3000001307. The next prime is 3000001321. The reversal of 3000001320 is 231000003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (3000001321) 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 95 ways as a sum of consecutive naturals, for example, 33707836 + ... + 33707924.

It is an arithmetic number, because the mean of its divisors is an integer number (27995625).

Almost surely, 2^3000001320 is an apocalyptic number.

3000001320 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 3000001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5375160000).

3000001320 is an abundant number, since it is smaller than the sum of its proper divisors (7750318680).

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

3000001320 is a wasteful number, since it uses less digits than its factorization.

3000001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 3000001320 is about 54772.2678004116. The cubic root of 3000001320 is about 1442.2497818373.

Adding to 3000001320 its reverse (231000003), we get a palindrome (3231001323).

The spelling of 3000001320 in words is "three billion, one thousand, three hundred twenty".