3126816000 has 1152 divisors, whose sum is σ = 14693253120. Its totient is φ = 635904000.

The previous prime is 3126815977. The next prime is 3126816059. The reversal of 3126816000 is 6186213.

3126816000 is a `hidden beast` number, since 31 + 26 + 8 + 1 + 600 + 0 = 666.

3126816000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 66527977 + ... + 66528023.

It is an arithmetic number, because the mean of its divisors is an integer number (12754560).

Almost surely, 2^3126816000 is an apocalyptic number.

3126816000 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 3126816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7346626560).

3126816000 is an abundant number, since it is smaller than the sum of its proper divisors (11566437120).

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

3126816000 is a wasteful number, since it uses less digits than its factorization.

3126816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3126816000 is about 55917.9398762150. The cubic root of 3126816000 is about 1462.2920151309.

The spelling of 3126816000 in words is "three billion, one hundred twenty-six million, eight hundred sixteen thousand".