3982248000 has 672 divisors, whose sum is σ = 15576986880. Its totient is φ = 967680000.

The previous prime is 3982247999. The next prime is 3982248031. The reversal of 3982248000 is 8422893.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56087965 + ... + 56088035.

It is an arithmetic number, because the mean of its divisors is an integer number (23180040).

Almost surely, 2^3982248000 is an apocalyptic number.

3982248000 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 3982248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7788493440).

3982248000 is an abundant number, since it is smaller than the sum of its proper divisors (11594738880).

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

3982248000 is a wasteful number, since it uses less digits than its factorization.

3982248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3982248000 is about 63105.0552650103. The cubic root of 3982248000 is about 1585.0492741766.

The spelling of 3982248000 in words is "three billion, nine hundred eighty-two million, two hundred forty-eight thousand".