3960688356 has 81 divisors (see below), whose sum is σ = 10652573659. Its totient is φ = 1240555008.

The previous prime is 3960688327. The next prime is 3960688393. The reversal of 3960688356 is 6538860693.

The square root of 3960688356 is 62934.

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

3960688356 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 4 ways, for example, as 389430756 + 3571257600 = 19734^2 + 59760^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

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, 6418960 + ... + 6419576.

Almost surely, 2^3960688356 is an apocalyptic number.

3960688356 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3960688356 is the 62934-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3960688356

3960688356 is an abundant number, since it is smaller than the sum of its proper divisors (6691885303).

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

3960688356 is a wasteful number, since it uses less digits than its factorization.

3960688356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The cubic root of 3960688356 is about 1582.1836436266.

The spelling of 3960688356 in words is "three billion, nine hundred sixty million, six hundred eighty-eight thousand, three hundred fifty-six".