3056784640 has 432 divisors, whose sum is σ = 9630085248. Its totient is φ = 919683072.

The previous prime is 3056784607. The next prime is 3056784649. The reversal of 3056784640 is 464876503.

It is a super-4 number, since 4×3056784640⁴ (a number of 39 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3056784649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18753199 + ... + 18753361.

It is an arithmetic number, because the mean of its divisors is an integer number (22291864).

Almost surely, 2^3056784640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3056784640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4815042624).

3056784640 is an abundant number, since it is smaller than the sum of its proper divisors (6573300608).

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

3056784640 is a wasteful number, since it uses less digits than its factorization.

3056784640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 43.

The square root of 3056784640 is about 55288.1962085941. The cubic root of 3056784640 is about 1451.2924884742.

The spelling of 3056784640 in words is "three billion, fifty-six million, seven hundred eighty-four thousand, six hundred forty".