3981749760 has 240 divisors, whose sum is σ = 14087151936. Its totient is φ = 1038925824.

The previous prime is 3981749753. The next prime is 3981749773. The reversal of 3981749760 is 679471893.

It is a happy number.

3981749760 is a `hidden beast` number, since 3 + 98 + 1 + 7 + 497 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 3981749697 and 3981749706.

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, 1081042 + ... + 1084718.

Almost surely, 2^3981749760 is an apocalyptic number.

3981749760 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 3981749760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7043575968).

3981749760 is an abundant number, since it is smaller than the sum of its proper divisors (10105402176).

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

3981749760 is a wasteful number, since it uses less digits than its factorization.

3981749760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3753 (or 3734 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 3981749760 is about 63101.1074387764. The cubic root of 3981749760 is about 1584.9831668014.

The spelling of 3981749760 in words is "three billion, nine hundred eighty-one million, seven hundred forty-nine thousand, seven hundred sixty".