3982884480 has 256 divisors, whose sum is σ = 14281142400. Its totient is φ = 1048928256.

The previous prime is 3982884467. The next prime is 3982884517. The reversal of 3982884480 is 844882893.

3982884480 is a `hidden beast` number, since 3 + 9 + 82 + 8 + 84 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1432852 + ... + 1435628.

Almost surely, 2^3982884480 is an apocalyptic number.

3982884480 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 3982884480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7140571200).

3982884480 is an abundant number, since it is smaller than the sum of its proper divisors (10298257920).

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

3982884480 is a wasteful number, since it uses less digits than its factorization.

3982884480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2888 (or 2870 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The square root of 3982884480 is about 63110.0980826365. The cubic root of 3982884480 is about 1585.1337154619.

The spelling of 3982884480 in words is "three billion, nine hundred eighty-two million, eight hundred eighty-four thousand, four hundred eighty".