3861130096800 has 1440 divisors, whose sum is σ = 15178327274880. Its totient is φ = 952772198400.

The previous prime is 3861130096771. The next prime is 3861130096849. The reversal of 3861130096800 is 86900311683.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 10938045424 + ... + 10938045776.

It is an arithmetic number, because the mean of its divisors is an integer number (10540505052).

Almost surely, 2^{3861130096800} is an apocalyptic number.

3861130096800 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 3861130096800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7589163637440).

3861130096800 is an abundant number, since it is smaller than the sum of its proper divisors (11317197178080).

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

3861130096800 is a wasteful number, since it uses less digits than its factorization.

3861130096800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 606 counting only the distinct ones).

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

The spelling of 3861130096800 in words is "three trillion, eight hundred sixty-one billion, one hundred thirty million, ninety-six thousand, eight hundred".