3920861440 has 144 divisors (see below), whose sum is σ = 9632145600. Its totient is φ = 1528750080.

The previous prime is 3920861383. The next prime is 3920861443. The reversal of 3920861440 is 441680293.

It is a self number, because there is not a number n which added to its sum of digits gives 3920861440.

It is not an unprimeable number, because it can be changed into a prime (3920861443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11234386 + ... + 11234734.

It is an arithmetic number, because the mean of its divisors is an integer number (66889900).

Almost surely, 2^3920861440 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 3920861440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4816072800).

3920861440 is an abundant number, since it is smaller than the sum of its proper divisors (5711284160).

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

3920861440 is a wasteful number, since it uses less digits than its factorization.

3920861440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 3920861440 is about 62616.7824149405. The cubic root of 3920861440 is about 1576.8625235632.

The spelling of 3920861440 in words is "three billion, nine hundred twenty million, eight hundred sixty-one thousand, four hundred forty".