3057638656 has 72 divisors (see below), whose sum is σ = 6273771840. Its totient is φ = 1486700544.

The previous prime is 3057638641. The next prime is 3057638657. The reversal of 3057638656 is 6568367503.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3057638657) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1464045 + ... + 1466131.

It is an arithmetic number, because the mean of its divisors is an integer number (87135720).

Almost surely, 2^3057638656 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 3057638656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3136885920).

3057638656 is an abundant number, since it is smaller than the sum of its proper divisors (3216133184).

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

3057638656 is an equidigital number, since it uses as much as digits as its factorization.

3057638656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2259 (or 2245 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 49.

The square root of 3057638656 is about 55295.9189814221. The cubic root of 3057638656 is about 1451.4276317423.

The spelling of 3057638656 in words is "three billion, fifty-seven million, six hundred thirty-eight thousand, six hundred fifty-six".