3982078368 has 288 divisors, whose sum is σ = 12996184320. Its totient is φ = 1181952000.

The previous prime is 3982078367. The next prime is 3982078409. The reversal of 3982078368 is 8638702893.

3982078368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (3982078367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5301993 + ... + 5302743.

It is an arithmetic number, because the mean of its divisors is an integer number (45125640).

Almost surely, 2^3982078368 is an apocalyptic number.

3982078368 is a gapful number since it is divisible by the number (38) 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 3982078368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6498092160).

3982078368 is an abundant number, since it is smaller than the sum of its proper divisors (9014105952).

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

3982078368 is a wasteful number, since it uses less digits than its factorization.

3982078368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 3982078368 is about 63103.7112062357. The cubic root of 3982078368 is about 1585.0267677183.

The spelling of 3982078368 in words is "three billion, nine hundred eighty-two million, seventy-eight thousand, three hundred sixty-eight".