3981057920 has 384 divisors, whose sum is σ = 11771256960. Its totient is φ = 1281982464.

The previous prime is 3981057919. The next prime is 3981057923. The reversal of 3981057920 is 297501893.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3981057923) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54535004 + ... + 54535076.

It is an arithmetic number, because the mean of its divisors is an integer number (30654315).

Almost surely, 2^3981057920 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 3981057920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5885628480).

3981057920 is an abundant number, since it is smaller than the sum of its proper divisors (7790199040).

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

3981057920 is a wasteful number, since it uses less digits than its factorization.

3981057920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 44.

The square root of 3981057920 is about 63095.6252049221. The cubic root of 3981057920 is about 1584.8913630856.

The spelling of 3981057920 in words is "three billion, nine hundred eighty-one million, fifty-seven thousand, nine hundred twenty".