3056462640 has 1280 divisors, whose sum is σ = 14810480640. Its totient is φ = 559595520.

The previous prime is 3056462579. The next prime is 3056462681. The reversal of 3056462640 is 462646503.

3056462640 is a `hidden beast` number, since 3 + 0 + 5 + 6 + 4 + 6 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3056462595 and 3056462604.

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 255 ways as a sum of consecutive naturals, for example, 65031097 + ... + 65031143.

It is an arithmetic number, because the mean of its divisors is an integer number (11570688).

Almost surely, 2^3056462640 is an apocalyptic number.

3056462640 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 3056462640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7405240320).

3056462640 is an abundant number, since it is smaller than the sum of its proper divisors (11754018000).

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

3056462640 is a wasteful number, since it uses less digits than its factorization.

3056462640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3056462640 is about 55285.2841179278. The cubic root of 3056462640 is about 1451.2415272359.

The spelling of 3056462640 in words is "three billion, fifty-six million, four hundred sixty-two thousand, six hundred forty".