3982272000 has 320 divisors, whose sum is σ = 15136602624. Its totient is φ = 909926400.

The previous prime is 3982271899. The next prime is 3982272031. The reversal of 3982272000 is 2722893.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1342519 + ... + 1345481.

Almost surely, 2^3982272000 is an apocalyptic number.

3982272000 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 3982272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7568301312).

3982272000 is an abundant number, since it is smaller than the sum of its proper divisors (11154330624).

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

3982272000 is an equidigital number, since it uses as much as digits as its factorization.

3982272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3006 (or 2980 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 3982272000 is about 63105.2454238156. The cubic root of 3982272000 is about 1585.0524584004.

Adding to 3982272000 its reverse (2722893), we get a palindrome (3984994893).

The spelling of 3982272000 in words is "three billion, nine hundred eighty-two million, two hundred seventy-two thousand".