3978660384 has 192 divisors, whose sum is σ = 11861136000. Its totient is φ = 1313459712.

The previous prime is 3978660347. The next prime is 3978660407. The reversal of 3978660384 is 4830668793.

It is a super-2 number, since 2×3978660384² = 31659476902422054912, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3978660384.

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 31 ways as a sum of consecutive naturals, for example, 9727572 + ... + 9727980.

It is an arithmetic number, because the mean of its divisors is an integer number (61776750).

Almost surely, 2^3978660384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3978660384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5930568000).

3978660384 is an abundant number, since it is smaller than the sum of its proper divisors (7882475616).

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

3978660384 is an equidigital number, since it uses as much as digits as its factorization.

3978660384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 3978660384 is about 63076.6231182361. The cubic root of 3978660384 is about 1584.5731397029.

The spelling of 3978660384 in words is "three billion, nine hundred seventy-eight million, six hundred sixty thousand, three hundred eighty-four".