3989971440 has 640 divisors, whose sum is σ = 17278894080. Its totient is φ = 823799808.

The previous prime is 3989971373. The next prime is 3989971441. The reversal of 3989971440 is 441799893.

3989971440 is a `hidden beast` number, since 39 + 89 + 97 + 1 + 440 = 666.

3989971440 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (3989971441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10417489 + ... + 10417871.

It is an arithmetic number, because the mean of its divisors is an integer number (26998272).

Almost surely, 2^3989971440 is an apocalyptic number.

3989971440 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 3989971440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8639447040).

3989971440 is an abundant number, since it is smaller than the sum of its proper divisors (13288922640).

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

3989971440 is a wasteful number, since it uses less digits than its factorization.

3989971440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 3989971440 is about 63166.2207196220. The cubic root of 3989971440 is about 1586.0733295294.

The spelling of 3989971440 in words is "three billion, nine hundred eighty-nine million, nine hundred seventy-one thousand, four hundred forty".