3001320000 has 560 divisors, whose sum is σ = 12632456320. Its totient is φ = 684288000.

The previous prime is 3001319957. The next prime is 3001320037. The reversal of 3001320000 is 231003.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7559802 + ... + 7560198.

Almost surely, 2^3001320000 is an apocalyptic number.

3001320000 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 3001320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6316228160).

3001320000 is an abundant number, since it is smaller than the sum of its proper divisors (9631136320).

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

3001320000 is an equidigital number, since it uses as much as digits as its factorization.

3001320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 414 counting only the distinct ones).

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

The square root of 3001320000 is about 54784.3043215847. The cubic root of 3001320000 is about 1442.4610692276.

Adding to 3001320000 its reverse (231003), we get a palindrome (3001551003).

The spelling of 3001320000 in words is "three billion, one million, three hundred twenty thousand".