3123868809600 has 4608 divisors, whose sum is σ = 15890582937600. Its totient is φ = 591224832000.

The previous prime is 3123868809571. The next prime is 3123868809601. The reversal of 3123868809600 is 69088683213.

It is a happy number.

3123868809600 is a `hidden beast` number, since 3 + 1 + 23 + 8 + 6 + 8 + 8 + 0 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3123868809601) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 100769961585 + ... + 100769961615.

It is an arithmetic number, because the mean of its divisors is an integer number (3448477200).

Almost surely, 2^{3123868809600} is an apocalyptic number.

3123868809600 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 3123868809600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7945291468800).

3123868809600 is an abundant number, since it is smaller than the sum of its proper divisors (12766714128000).

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

3123868809600 is a wasteful number, since it uses less digits than its factorization.

3123868809600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 3123868809600 in words is "three trillion, one hundred twenty-three billion, eight hundred sixty-eight million, eight hundred nine thousand, six hundred".