3983958720 has 672 divisors, whose sum is σ = 16562832000. Its totient is φ = 877879296.

The previous prime is 3983958701. The next prime is 3983958761. The reversal of 3983958720 is 278593893.

It is a happy number.

3983958720 is a `hidden beast` number, since 3 + 9 + 8 + 39 + 587 + 20 = 666.

3983958720 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36550026 + ... + 36550134.

Almost surely, 2^3983958720 is an apocalyptic number.

3983958720 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 3983958720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8281416000).

3983958720 is an abundant number, since it is smaller than the sum of its proper divisors (12578873280).

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

3983958720 is a wasteful number, since it uses less digits than its factorization.

3983958720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 3983958720 is about 63118.6083496777. The cubic root of 3983958720 is about 1585.2762136089.

The spelling of 3983958720 in words is "three billion, nine hundred eighty-three million, nine hundred fifty-eight thousand, seven hundred twenty".