3981744000 has 512 divisors, whose sum is σ = 15816528000. Its totient is φ = 978739200.

The previous prime is 3981743963. The next prime is 3981744001. The reversal of 3981744000 is 4471893.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3981744001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5615646 + ... + 5616354.

Almost surely, 2^3981744000 is an apocalyptic number.

3981744000 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 3981744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7908264000).

3981744000 is an abundant number, since it is smaller than the sum of its proper divisors (11834784000).

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

3981744000 is a wasteful number, since it uses less digits than its factorization.

3981744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 3981744000 is about 63101.0617977225. The cubic root of 3981744000 is about 1584.9824025220.

The spelling of 3981744000 in words is "three billion, nine hundred eighty-one million, seven hundred forty-four thousand".