3106893106800 has 360 divisors, whose sum is σ = 12530890769280. Its totient is φ = 698110272000.

The previous prime is 3106893106787. The next prime is 3106893106817. The reversal of 3106893106800 is 86013986013.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 441975 + ... + 2531625.

Almost surely, 2^{3106893106800} is an apocalyptic number.

3106893106800 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 3106893106800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6265445384640).

3106893106800 is an abundant number, since it is smaller than the sum of its proper divisors (9423997662480).

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

3106893106800 is a wasteful number, since it uses less digits than its factorization.

3106893106800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2089741 (or 2089727 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 3106893106800 in words is "three trillion, one hundred six billion, eight hundred ninety-three million, one hundred six thousand, eight hundred".