3126945124800 has 1680 divisors, whose sum is σ = 14203809072640. Its totient is φ = 658678210560.

The previous prime is 3126945124769. The next prime is 3126945124817. The reversal of 3126945124800 is 84215496213.

3126945124800 is a `hidden beast` number, since 3 + 1 + 2 + 6 + 94 + 512 + 48 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 637759149 + ... + 637764051.

Almost surely, 2^{3126945124800} is an apocalyptic number.

3126945124800 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 3126945124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7101904536320).

3126945124800 is an abundant number, since it is smaller than the sum of its proper divisors (11076863947840).

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

3126945124800 is a wasteful number, since it uses less digits than its factorization.

3126945124800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5000 (or 4976 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 3126945124800 in words is "three trillion, one hundred twenty-six billion, nine hundred forty-five million, one hundred twenty-four thousand, eight hundred".