3960504576 has 162 divisors, whose sum is σ = 13283834382. Its totient is φ = 1131540480.

The previous prime is 3960504563. The next prime is 3960504577. The reversal of 3960504576 is 6754050693.

3960504576 is a `hidden beast` number, since 3 + 96 + 0 + 504 + 57 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3822206976 + 138297600 = 61824^2 + 11760^2 .

It is not an unprimeable number, because it can be changed into a prime (3960504577) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 95356 + ... + 130436.

Almost surely, 2^3960504576 is an apocalyptic number.

3960504576 is a gapful number since it is divisible by the number (36) 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 3960504576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6641917191).

3960504576 is an abundant number, since it is smaller than the sum of its proper divisors (9323329806).

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

3960504576 is a wasteful number, since it uses less digits than its factorization.

3960504576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35117 (or 35093 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 3960504576 is about 62932.5398820038. The cubic root of 3960504576 is about 1582.1591716004.

It can be divided in two parts, 3960 and 504576, that added together give a triangular number (508536 = T₁₀₀₈).

The spelling of 3960504576 in words is "three billion, nine hundred sixty million, five hundred four thousand, five hundred seventy-six".