3981080320 has 144 divisors (see below), whose sum is σ = 11165047488. Its totient is φ = 1331527680.

The previous prime is 3981080297. The next prime is 3981080351. The reversal of 3981080320 is 230801893.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 361942 + ... + 372778.

It is an arithmetic number, because the mean of its divisors is an integer number (77535052).

Almost surely, 2^3981080320 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 3981080320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5582523744).

3981080320 is an abundant number, since it is smaller than the sum of its proper divisors (7183967168).

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

3981080320 is a wasteful number, since it uses less digits than its factorization.

3981080320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10906 (or 10892 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 3981080320 is about 63095.8027130173. The cubic root of 3981080320 is about 1584.8943356204.

The spelling of 3981080320 in words is "three billion, nine hundred eighty-one million, eighty thousand, three hundred twenty".