3981312000 has 432 divisors, whose sum is σ = 14885528112. Its totient is φ = 1061683200.

The previous prime is 3981311987. The next prime is 3981312043. The reversal of 3981312000 is 2131893.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (6!)² ⋅ 5! ⋅ (2!)⁶.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 796262398 + ... + 796262402.

It is an arithmetic number, because the mean of its divisors is an integer number (34457241).

Almost surely, 2^3981312000 is an apocalyptic number.

3981312000 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 3981312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7442764056).

3981312000 is an abundant number, since it is smaller than the sum of its proper divisors (10904216112).

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

3981312000 is an frugal number, since it uses more digits than its factorization.

3981312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 3981312000 is about 63097.6386245951. The cubic root of 3981312000 is about 1584.9250794694.

Multiplying 3981312000 by its product of nonzero digits (1296), we get a cube (5159780352000 = 17280³).

Adding to 3981312000 its reverse (2131893), we get a palindrome (3983443893).

The spelling of 3981312000 in words is "three billion, nine hundred eighty-one million, three hundred twelve thousand".