3978660536964 has 81 divisors (see below), whose sum is σ = 10614960280197. Its totient is φ = 1256347309248.

The previous prime is 3978660536957. The next prime is 3978660536987. The reversal of 3978660536964 is 4696350668793.

It is a happy number.

The square root of 3978660536964 is 1994658.

It is a perfect power (a square), and thus also a powerful number.

3978660536964 is a `hidden beast` number, since 3 + 9 + 7 + 8 + 6 + 605 + 3 + 6 + 9 + 6 + 4 = 666.

3978660536964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 11361428100 + 3967299108864 = 106590^2 + 1991808^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3978660536892 and 3978660536901.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 227382264 + ... + 227399760.

Almost surely, 2^{3978660536964} is an apocalyptic number.

3978660536964 is the 1994658-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3978660536964

3978660536964 is an abundant number, since it is smaller than the sum of its proper divisors (6636299743233).

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

3978660536964 is an equidigital number, since it uses as much as digits as its factorization.

3978660536964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35042 (or 17521 counting only the distinct ones).

The product of its (nonzero) digits is 1058158080, while the sum is 72.

The spelling of 3978660536964 in words is "three trillion, nine hundred seventy-eight billion, six hundred sixty million, five hundred thirty-six thousand, nine hundred sixty-four".