3983679360 has 512 divisors, whose sum is σ = 15228518400. Its totient is φ = 980582400.

The previous prime is 3983679319. The next prime is 3983679361. The reversal of 3983679360 is 639763893.

3983679360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3983679297 and 3983679306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3983679361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20856865 + ... + 20857055.

It is an arithmetic number, because the mean of its divisors is an integer number (29743200).

Almost surely, 2^3983679360 is an apocalyptic number.

3983679360 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 3983679360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7614259200).

3983679360 is an abundant number, since it is smaller than the sum of its proper divisors (11244839040).

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

3983679360 is a wasteful number, since it uses less digits than its factorization.

3983679360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The square root of 3983679360 is about 63116.3953343345. The cubic root of 3983679360 is about 1585.2391589149.

The spelling of 3983679360 in words is "three billion, nine hundred eighty-three million, six hundred seventy-nine thousand, three hundred sixty".