3982407840 has 144 divisors (see below), whose sum is σ = 13616359848. Its totient is φ = 1059913728.

The previous prime is 3982407829. The next prime is 3982407851. The reversal of 3982407840 is 487042893.

It is an interprime number because it is at equal distance from previous prime (3982407829) and next prime (3982407851).

It can be written as a sum of positive squares in 4 ways, for example, as 3949368336 + 33039504 = 62844^2 + 5748^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 828484 + ... + 833276.

Almost surely, 2^3982407840 is an apocalyptic number.

3982407840 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 3982407840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6808179924).

3982407840 is an abundant number, since it is smaller than the sum of its proper divisors (9633952008).

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

3982407840 is a wasteful number, since it uses less digits than its factorization.

3982407840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5391 (or 5380 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 3982407840 is about 63106.3217118539. The cubic root of 3982407840 is about 1585.0704808658.

The spelling of 3982407840 in words is "three billion, nine hundred eighty-two million, four hundred seven thousand, eight hundred forty".