3040512000 has 384 divisors, whose sum is σ = 10486869120. Its totient is φ = 781516800.

The previous prime is 3040511951. The next prime is 3040512061. The reversal of 3040512000 is 2150403.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (15).

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 31 ways as a sum of consecutive naturals, for example, 28415947 + ... + 28416053.

It is an arithmetic number, because the mean of its divisors is an integer number (27309555).

Almost surely, 2^3040512000 is an apocalyptic number.

3040512000 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 3040512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5243434560).

3040512000 is an abundant number, since it is smaller than the sum of its proper divisors (7446357120).

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

3040512000 is a wasteful number, since it uses less digits than its factorization.

3040512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 3040512000 is about 55140.8378608813. The cubic root of 3040512000 is about 1448.7126107919.

Adding to 3040512000 its reverse (2150403), we get a palindrome (3042662403).

The spelling of 3040512000 in words is "three billion, forty million, five hundred twelve thousand".