3982805640 has 160 divisors (see below), whose sum is σ = 14603751360. Its totient is φ = 965520000.

The previous prime is 3982805633. The next prime is 3982805699. The reversal of 3982805640 is 465082893.

3982805640 is a `hidden beast` number, since 3 + 9 + 8 + 2 + 80 + 564 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20236 + ... + 91515.

It is an arithmetic number, because the mean of its divisors is an integer number (91273446).

Almost surely, 2^3982805640 is an apocalyptic number.

3982805640 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 3982805640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7301875680).

3982805640 is an abundant number, since it is smaller than the sum of its proper divisors (10620945720).

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

3982805640 is a wasteful number, since it uses less digits than its factorization.

3982805640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111785 (or 111772 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 3982805640 is about 63109.4734568432. The cubic root of 3982805640 is about 1585.1232563113.

The spelling of 3982805640 in words is "three billion, nine hundred eighty-two million, eight hundred five thousand, six hundred forty".