3106226188800 has 2880 divisors, whose sum is σ = 14058530196480. Its totient is φ = 668860416000.

The previous prime is 3106226188799. The next prime is 3106226188823. The reversal of 3106226188800 is 88816226013.

3106226188800 is a `hidden beast` number, since 3 + 1 + 0 + 6 + 22 + 618 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×3106226188800² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 32022950352 + ... + 32022950448.

It is an arithmetic number, because the mean of its divisors is an integer number (4881434096).

Almost surely, 2^{3106226188800} is an apocalyptic number.

3106226188800 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 3106226188800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7029265098240).

3106226188800 is an abundant number, since it is smaller than the sum of its proper divisors (10952304007680).

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

3106226188800 is a wasteful number, since it uses less digits than its factorization.

3106226188800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 3106226188800 in words is "three trillion, one hundred six billion, two hundred twenty-six million, one hundred eighty-eight thousand, eight hundred".