3126314880000 has 1100 divisors, whose sum is σ = 12566092813120. Its totient is φ = 769388544000.

The previous prime is 3126314879977. The next prime is 3126314880043. The reversal of 3126314880000 is 884136213.

3126314880000 is a `hidden beast` number, since 3 + 12 + 631 + 4 + 8 + 8 + 0 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 673917681 + ... + 673922319.

Almost surely, 2^{3126314880000} is an apocalyptic number.

3126314880000 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 3126314880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6283046406560).

3126314880000 is an abundant number, since it is smaller than the sum of its proper divisors (9439777933120).

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

3126314880000 is an equidigital number, since it uses as much as digits as its factorization.

3126314880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4704 (or 4662 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 3126314880000 in words is "three trillion, one hundred twenty-six billion, three hundred fourteen million, eight hundred eighty thousand".