3861212695200 has 1152 divisors, whose sum is σ = 17157701836800. Its totient is φ = 818293985280.

The previous prime is 3861212695091. The next prime is 3861212695273. The reversal of 3861212695200 is 25962121683.

3861212695200 is a `hidden beast` number, since 3 + 8 + 61 + 2 + 1 + 2 + 69 + 520 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 135007302 + ... + 135035898.

It is an arithmetic number, because the mean of its divisors is an integer number (14893838400).

Almost surely, 2^{3861212695200} is an apocalyptic number.

3861212695200 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 3861212695200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8578850918400).

3861212695200 is an abundant number, since it is smaller than the sum of its proper divisors (13296489141600).

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

3861212695200 is a wasteful number, since it uses less digits than its factorization.

3861212695200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28699 (or 28680 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 3861212695200 in words is "three trillion, eight hundred sixty-one billion, two hundred twelve million, six hundred ninety-five thousand, two hundred".