3056486400 has 720 divisors, whose sum is σ = 12534041520. Its totient is φ = 729907200.

The previous prime is 3056486369. The next prime is 3056486401. The reversal of 3056486400 is 46846503.

3056486400 is a `hidden beast` number, since 3 + 0 + 5 + 6 + 4 + 8 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×3056486400² = 18684218226769920000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3056486401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 45619167 + ... + 45619233.

It is an arithmetic number, because the mean of its divisors is an integer number (17408391).

Almost surely, 2^3056486400 is an apocalyptic number.

3056486400 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 3056486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6267020760).

3056486400 is an abundant number, since it is smaller than the sum of its proper divisors (9477555120).

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

3056486400 is a wasteful number, since it uses less digits than its factorization.

3056486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3056486400 is about 55285.4990029031. The cubic root of 3056486400 is about 1451.2452877278.

It can be divided in two parts, 30564 and 86400, that added together give a square (116964 = 342²).

The spelling of 3056486400 in words is "three billion, fifty-six million, four hundred eighty-six thousand, four hundred".