3960544896 has 640 divisors, whose sum is σ = 15177697920. Its totient is φ = 1003622400.

The previous prime is 3960544873. The next prime is 3960544897. The reversal of 3960544896 is 6984450693.

3960544896 is a `hidden beast` number, since 3 + 9 + 6 + 0 + 544 + 8 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3960544897) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 96598636 + ... + 96598676.

It is an arithmetic number, because the mean of its divisors is an integer number (23715153).

Almost surely, 2^3960544896 is an apocalyptic number.

3960544896 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 3960544896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7588848960).

3960544896 is an abundant number, since it is smaller than the sum of its proper divisors (11217153024).

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

3960544896 is an equidigital number, since it uses as much as digits as its factorization.

3960544896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 64 counting only the distinct ones).

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

The square root of 3960544896 is about 62932.8602242104. The cubic root of 3960544896 is about 1582.1645406504.

The spelling of 3960544896 in words is "three billion, nine hundred sixty million, five hundred forty-four thousand, eight hundred ninety-six".