3960552960 has 480 divisors, whose sum is σ = 16890793920. Its totient is φ = 835190784.

The previous prime is 3960552949. The next prime is 3960553033. The reversal of 3960552960 is 692550693.

3960552960 is a `hidden beast` number, since 3 + 9 + 6 + 0 + 552 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2095696 + ... + 2097584.

It is an arithmetic number, because the mean of its divisors is an integer number (35189154).

Almost surely, 2^3960552960 is an apocalyptic number.

3960552960 is a gapful number since it is divisible by the number (30) 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 3960552960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8445396960).

3960552960 is an abundant number, since it is smaller than the sum of its proper divisors (12930240960).

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

3960552960 is a wasteful number, since it uses less digits than its factorization.

3960552960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1938 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The square root of 3960552960 is about 62932.9242924560. The cubic root of 3960552960 is about 1582.1656144560.

The spelling of 3960552960 in words is "three billion, nine hundred sixty million, five hundred fifty-two thousand, nine hundred sixty".