3981793520 has 80 divisors (see below), whose sum is σ = 9783793440. Its totient is φ = 1502871552.

The previous prime is 3981793477. The next prime is 3981793523. The reversal of 3981793520 is 253971893.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3981793523) 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 15 ways as a sum of consecutive naturals, for example, 385544 + ... + 395736.

It is an arithmetic number, because the mean of its divisors is an integer number (122297418).

Almost surely, 2^3981793520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3981793520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4891896720).

3981793520 is an abundant number, since it is smaller than the sum of its proper divisors (5801999920).

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

3981793520 is a wasteful number, since it uses less digits than its factorization.

3981793520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10482 (or 10476 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 47.

The square root of 3981793520 is about 63101.4541829267. The cubic root of 3981793520 is about 1584.9889731774.

The spelling of 3981793520 in words is "three billion, nine hundred eighty-one million, seven hundred ninety-three thousand, five hundred twenty".