3072006000 has 840 divisors, whose sum is σ = 13256655984. Its totient is φ = 685843200.

The previous prime is 3072005999. The next prime is 3072006011. The reversal of 3072006000 is 6002703.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 71441979 + ... + 71442021.

Almost surely, 2^3072006000 is an apocalyptic number.

3072006000 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 3072006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6628327992).

3072006000 is an abundant number, since it is smaller than the sum of its proper divisors (10184649984).

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

3072006000 is an equidigital number, since it uses as much as digits as its factorization.

3072006000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 3072006000 is about 55425.6799687654. The cubic root of 3072006000 is about 1453.6974206821.

Adding to 3072006000 its reverse (6002703), we get a palindrome (3078008703).

The spelling of 3072006000 in words is "three billion, seventy-two million, six thousand".