3006743040 has 480 divisors, whose sum is σ = 12082726656. Its totient is φ = 676823040.

The previous prime is 3006743039. The next prime is 3006743087. The reversal of 3006743040 is 403476003.

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 3006742995 and 3006743013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16611750 + ... + 16611930.

Almost surely, 2^3006743040 is an apocalyptic number.

3006743040 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 3006743040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6041363328).

3006743040 is an abundant number, since it is smaller than the sum of its proper divisors (9075983616).

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

3006743040 is a wasteful number, since it uses less digits than its factorization.

3006743040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 3006743040 is about 54833.7764521102. The cubic root of 3006743040 is about 1443.3293335617.

The spelling of 3006743040 in words is "three billion, six million, seven hundred forty-three thousand, forty".