3982970880 has 650 divisors, whose sum is σ = 16656611466. Its totient is φ = 910393344.

The previous prime is 3982970821. The next prime is 3982970891. The reversal of 3982970880 is 880792893.

It can be written as a sum of positive squares in only one way, i.e., 3186376704 + 796594176 = 56448^2 + 28224^2 .

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

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 568995837 + ... + 568995843.

Almost surely, 2^3982970880 is an apocalyptic number.

3982970880 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 3982970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8328305733).

3982970880 is an abundant number, since it is smaller than the sum of its proper divisors (12673640586).

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

3982970880 is an frugal number, since it uses more digits than its factorization.

3982970880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 3982970880 is about 63110.7825969541. The cubic root of 3982970880 is about 1585.1451773864.

The spelling of 3982970880 in words is "three billion, nine hundred eighty-two million, nine hundred seventy thousand, eight hundred eighty".