3981360600000 has 2352 divisors, whose sum is σ = 17489066628096. Its totient is φ = 879932160000.

The previous prime is 3981360599989. The next prime is 3981360600011. The reversal of 3981360600000 is 60631893.

It is a happy number.

3981360600000 is a `hidden beast` number, since 39 + 8 + 13 + 6 + 0 + 600 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3981360599989) and next prime (3981360600011).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 47968199959 + ... + 47968200041.

It is an arithmetic number, because the mean of its divisors is an integer number (7435827648).

Almost surely, 2^{3981360600000} is an apocalyptic number.

3981360600000 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 3981360600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8744533314048).

3981360600000 is an abundant number, since it is smaller than the sum of its proper divisors (13507706028096).

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

3981360600000 is an frugal number, since it uses more digits than its factorization.

3981360600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 147 counting only the distinct ones).

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

The spelling of 3981360600000 in words is "three trillion, nine hundred eighty-one billion, three hundred sixty million, six hundred thousand".