3966078976 has 104 divisors (see below), whose sum is σ = 8294861880. Its totient is φ = 1893728256.

The previous prime is 3966078967. The next prime is 3966078983. The reversal of 3966078976 is 6798706693.

It can be written as a sum of positive squares in 4 ways, for example, as 943718400 + 3022360576 = 30720^2 + 54976^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20549536 + ... + 20549728.

Almost surely, 2^3966078976 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 3966078976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4147430940).

3966078976 is an abundant number, since it is smaller than the sum of its proper divisors (4328782904).

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

3966078976 is a wasteful number, since it uses less digits than its factorization.

3966078976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 61.

The square root of 3966078976 is about 62976.8130028823. The cubic root of 3966078976 is about 1582.9011186007.

The spelling of 3966078976 in words is "three billion, nine hundred sixty-six million, seventy-eight thousand, nine hundred seventy-six".