3001020000 has 240 divisors, whose sum is σ = 10741211712. Its totient is φ = 727360000.

The previous prime is 3001019993. The next prime is 3001020017. The reversal of 3001020000 is 201003.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3001020000² = 18012242080800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 657727 + ... + 662273.

Almost surely, 2^3001020000 is an apocalyptic number.

3001020000 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 3001020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5370605856).

3001020000 is an abundant number, since it is smaller than the sum of its proper divisors (7740191712).

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

3001020000 is a wasteful number, since it uses less digits than its factorization.

3001020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4591 (or 4568 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 3001020000 is about 54781.5662426696. The cubic root of 3001020000 is about 1442.4130067373.

Adding to 3001020000 its reverse (201003), we get a palindrome (3001221003).

The spelling of 3001020000 in words is "three billion, one million, twenty thousand".