3056000640 has 384 divisors, whose sum is σ = 12365680320. Its totient is φ = 634798080.

The previous prime is 3056000569. The next prime is 3056000653. The reversal of 3056000640 is 460006503.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3056000640.

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, 1033404 + ... + 1036356.

Almost surely, 2^3056000640 is an apocalyptic number.

3056000640 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 3056000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6182840160).

3056000640 is an abundant number, since it is smaller than the sum of its proper divisors (9309679680).

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

3056000640 is a wasteful number, since it uses less digits than its factorization.

3056000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3000 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 3056000640 is about 55281.1056329376. The cubic root of 3056000640 is about 1451.1684026854.

The spelling of 3056000640 in words is "three billion, fifty-six million, six hundred forty", and thus it is an aban number.