3961386000000 has 3136 divisors, whose sum is σ = 18290437754400. Its totient is φ = 839808000000.

The previous prime is 3961385999951. The next prime is 3961386000001. The reversal of 3961386000000 is 6831693.

It is a happy number.

3961386000000 is a `hidden beast` number, since 39 + 6 + 13 + 8 + 600 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3961386000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 391 ways as a sum of consecutive naturals, for example, 208493999991 + ... + 208494000009.

Almost surely, 2^{3961386000000} is an apocalyptic number.

3961386000000 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 3961386000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9145218877200).

3961386000000 is an abundant number, since it is smaller than the sum of its proper divisors (14329051754400).

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

3961386000000 is an frugal number, since it uses more digits than its factorization.

3961386000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 3961386000000 in words is "three trillion, nine hundred sixty-one billion, three hundred eighty-six million", and thus it is an aban number.